Integrals 901 to 1000

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \tan (e+f x)}}{(c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Argument Typeindex.cc in
dex_m i_lex

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1163\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+I*a*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Argument Typeindex.cc in
dex_m i_lex

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1164\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (e+f x))^{5/2}}{(c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^(5/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0,0] was discarded and replaced randomly by 0=[72,-20]Warning, replacing 72 by 50, a sub
stitution v

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1167\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (e+f x))^{3/2}}{(c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^(3/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0,0] was discarded and replaced randomly by 0=[-53,-45]Warning, replacing -53 by -66, a
substitutio

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1168\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \tan (e+f x)}}{(c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Argument Typeindex.cc in
dex_m i_lex

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1169\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+I*a*tan(f*x+e))^(1/2)/(c+d*tan(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Argument Typeindex.cc in
dex_m i_lex

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1170\)

Giac [F(-2)]

Exception generated. \[ \int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^m*(c+d*tan(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1186\)

Giac [F(-2)]

Exception generated. \[ \int (a+i a \tan (e+f x))^m \sqrt {c+d \tan (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^m*(c+d*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1187\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (e+f x))^m}{\sqrt {c+d \tan (e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^m/(c+d*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1188\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^m/(c+d*tan(f*x+e))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1189\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(f*x+e))^m/(c+d*tan(f*x+e))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1190\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \tan (e+f x)} \sqrt {c+d \tan (e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*tan(f*x+e))^(1/2)*(c+d*tan(f*x+e))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.2.1-a+b_tan-^m-c+d_tan-^n.txt

Test file number \(103\)

Integral number in file \(1267\)

Giac [F(-2)]

Exception generated. \[ \int \tan ^{\frac {3}{2}}(c+d x) \sqrt {a+i a \tan (c+d x)} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*tan(d*x+c)^(3/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by 15, a substitution variable should perhaps be pur
ged.Warning

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(154\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {\tan (c+d x)} \sqrt {a+i a \tan (c+d x)} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by 32, a substitution variable should perhaps be pur
ged.Warning

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(155\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \tan (c+d x)} (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by -86, a substitution variable should perhaps be pu
rged.Warnin

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(156\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\frac {3}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-74]Warning, replacing -74 by -81, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(157\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\frac {5}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-75]Warning, replacing -75 by -19, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(158\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\frac {7}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[66]Warning, replacing 66 by -57, a substitu
tion variab

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(159\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+i a \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\frac {9}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[15]Warning, replacing 15 by 99, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(160\)

Giac [F(-2)]

Exception generated. \[ \int \tan ^{\frac {3}{2}}(c+d x) (a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by -48, a substitution variable should perhaps be pu
rged.Warnin

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(161\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {\tan (c+d x)} (a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by -28, a substitution variable should perhaps be pu
rged.Warnin

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(162\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[80]Warning, replacing 80 by -82, a substitu
tion variab

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(163\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\frac {3}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[94]Warning, replacing 94 by -29, a substitu
tion variab

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(164\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\frac {5}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[78]Warning, replacing 78 by 64, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(165\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\frac {7}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[40]Warning, replacing 40 by 37, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(166\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\frac {9}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[16]Warning, replacing 16 by 40, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(167\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\frac {11}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-85]Warning, replacing -85 by 10, a substit
ution varia

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(168\)

Giac [F(-2)]

Exception generated. \[ \int \tan ^{\frac {3}{2}}(c+d x) (a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by -28, a substitution variable should perhaps be pu
rged.Warnin

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(169\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {\tan (c+d x)} (a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by 51, a substitution variable should perhaps be pur
ged.Warning

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(170\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[57]Warning, replacing 57 by 18, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(171\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\frac {3}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-90]Warning, replacing -90 by -93, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(172\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\frac {5}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-92]Warning, replacing -92 by -88, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(173\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\frac {7}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-41]Warning, replacing -41 by -23, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(174\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\frac {9}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-28]Warning, replacing -28 by 24, a substit
ution varia

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(175\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\frac {11}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[35]Warning, replacing 35 by 59, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(176\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\frac {13}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(13/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-42]Warning, replacing -42 by -80, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(177\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+i a \tan (c+d x))^{5/2} \left (\frac {3 b B}{2 a}+B \tan (c+d x)\right )}{\tan ^{\frac {5}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+I*a*tan(d*x+c))^(5/2)*(3/2*b*B/a+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-52]Warning, replacing -52 by -83, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(178\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^{\frac {3}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+i a \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[24]Warning, replacing 24 by 84, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(179\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{\sqrt {a+i a \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-7]Warning, replacing -7 by -3, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(180\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} \sqrt {a+i a \tan (c+d x)}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 2*((3*sqrt(abs(sageVARa))*sageVARB*sageV
ARa+3*i*abs(sageVARa)*sqrt(abs(sageVARa))*sageVARB+3*i*sqrt(abs(sageVARa))*sageVARa*sageVARA-3*abs(sageVARa)*s
qrt(abs(sageVARa))*sa

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(181\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\tan ^{\frac {3}{2}}(c+d x) \sqrt {a+i a \tan (c+d x)}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: -2*i*sageVARA*(-i)/sageVARa/sageVARd*sqr
t(i*sageVARa*tan(sageVARc+sageVARd*sageVARx)+sageVARa)*sqrt(2*sageVARa^2-2*sageVARa*(sqrt(i*sageVARa*tan(sageV
ARc+sageVARd*sageVARx

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(182\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\tan ^{\frac {5}{2}}(c+d x) \sqrt {a+i a \tan (c+d x)}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(5/2),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 2*((9*i*sageVARa*sageVARB*sageVARd+6*sag
eVARa*sageVARd*sageVARA)/9/sageVARa^3/sageVARd^2*sqrt(i*sageVARa*tan(sageVARc+sageVARd*sageVARx)+sageVARa)*sqr
t(i*sageVARa*tan(sage

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(183\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\tan ^{\frac {7}{2}}(c+d x) \sqrt {a+i a \tan (c+d x)}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(7/2),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 2*((-(345*i*sageVARa^3*sageVARA*sageVARd
^2-150*sageVARa^3*sageVARd^2*sageVARB)/(225*i)/sageVARa^6/sageVARd^3*sqrt(i*sageVARa*tan(sageVARc+sageVARd*sag
eVARx)+sageVARa)*sqrt

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(184\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^{\frac {3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[18]Warning, replacing 18 by 97, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(185\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-63]Warning, replacing -63 by -42, a substi
tution vari

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(186\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^{\frac {5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[32]Warning, replacing 32 by 64, a substitut
ion variabl

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(190\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^{\frac {3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-83]Warning, replacing -83 by -8, a substit
ution varia

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(191\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Non regular value [0] was discarded and replaced randomly by 0=[-27]Warning, replacing -27 by 20, a substit
ution varia

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(192\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\tan ^{\frac {5}{2}}(c+d x) (a+i a \tan (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(195\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{a+i a \tan (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Not invertible Er
ror: Bad Argument Value

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(521\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+i a \tan (c+d x))^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(531\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^{\frac {9}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(9/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(612\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^{\frac {7}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(613\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^{\frac {5}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(614\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^{\frac {3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(615\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(616\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(617\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\cot ^{\frac {3}{2}}(c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(618\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^{\frac {7}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(7/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(636\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^{\frac {5}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(637\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(639\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(640\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\cot ^{\frac {3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(641\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^{\frac {5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(642\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(644\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\cot ^{\frac {3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(646\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^{\frac {5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(647\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(649\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (c+d x)}{\cot ^{\frac {3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(651\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\cot (c+d x)} (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(d*x+c)^(1/2)*(B*a+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(653\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a B+b B \tan (c+d x)}{\cot ^{\frac {3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((B*a+b*B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 4_Trig_functions/4.3_Tangent/4.3.3.1-a+b_tan-^m-c+d_tan-^n-A+B_tan-.txt

Test file number \(104\)

Integral number in file \(655\)

Giac [F(-2)]

Exception generated. \[ \int \csc (e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csc(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(95\)

Giac [F(-2)]

Exception generated. \[ \int \csc ^3(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csc(f*x+e)^3*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(96\)

Giac [F(-2)]

Exception generated. \[ \int \csc ^5(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csc(f*x+e)^5*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(97\)

Giac [F(-2)]

Exception generated. \[ \int \csc (e+f x) \left (a+b \tan ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csc(f*x+e)*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(107\)

Giac [F(-2)]

Exception generated. \[ \int \csc ^5(e+f x) \left (a+b \tan ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(csc(f*x+e)^5*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(109\)

Giac [F(-2)]

Exception generated. \[ \int \cot (e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(296\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^3(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^3*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(297\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^5(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(f*x+e)^5*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(298\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan (e+f x)}{\sqrt {a+b \tan ^2(e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(f*x+e)/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(322\)

Giac [F(-2)]

Exception generated. \[ \int \cot (x) \sqrt {a+b \tan ^4(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)*(a+b*tan(x)^4)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(391\)

Giac [F(-2)]

Exception generated. \[ \int \cot (x) \left (a+b \tan ^4(x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)*(a+b*tan(x)^4)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(395\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(x)}{\sqrt {a+b \tan ^4(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(tan(x)^3/(a+b*tan(x)^4)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(396\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot (x)}{\sqrt {a+b \tan ^4(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)/(a+b*tan(x)^4)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(398\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot (x)}{\left (a+b \tan ^4(x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)/(a+b*tan(x)^4)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(402\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\cot (x)}{\left (a+b \tan ^4(x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)/(a+b*tan(x)^4)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(405\)

Giac [F(-2)]

Exception generated. \[ \int (d \tan (e+f x))^m \left (a+b \sqrt {c \tan (e+f x)}\right )^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a+b*(c*tan(f*x+e))^(1/2))^2*(d*tan(f*x+e))^m,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
 perhaps due to rounding error%%%{-1,[0,1,0]%%%} / %%%{1,[0,0,2]%%%}+%%%{-1,[0,0,0]%%%} Error: Bad Argument Va
lue

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(406\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(d \tan (e+f x))^m}{a+b \sqrt {c \tan (e+f x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*tan(f*x+e))^m/(a+b*(c*tan(f*x+e))^(1/2)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(408\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^6(e+f x) \left (b (c \tan (e+f x))^n\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(f*x+e)^6*(b*(c*tan(f*x+e))^n)^p,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,4,0,0]%%%}+%%%{2,[0,1,2,2,0]%%%}+%%%{1,[0,1,0,4,0
]%%%} / %%%

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(477\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^4(e+f x) \left (b (c \tan (e+f x))^n\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(f*x+e)^4*(b*(c*tan(f*x+e))^n)^p,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0,0]%%%}+%%%{1,[0,1,0,2,0]%%%} / %%%{1,[0,0,3,0
,1]%%%} Err

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(478\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^2(e+f x) \left (b (c \tan (e+f x))^n\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,1,1]%%%} Error: Bad Argumen
t Value

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(479\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^6(e+f x) \left (a+b (c \tan (e+f x))^n\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(f*x+e)^6*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,4,0,0]%%%}+%%%{2,[0,1,2,2,0]%%%}+%%%{1,[0,1,0,4,0
]%%%} / %%%

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(491\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^4(e+f x) \left (a+b (c \tan (e+f x))^n\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(f*x+e)^4*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0,0]%%%}+%%%{1,[0,1,0,2,0]%%%} / %%%{1,[0,0,3,0
,1]%%%} Err

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(492\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^2(e+f x) \left (a+b (c \tan (e+f x))^n\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(sec(f*x+e)^2*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,1,1]%%%} Error: Bad Argumen
t Value

input file name 4_Trig_functions/4.3_Tangent/4.3.7-d_trig-^m-a+b-c_tan-^n-^p.txt

Test file number \(106\)

Integral number in file \(493\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a \cot ^4(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*cot(x)^4)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 4_Trig_functions/4.4_Cotangent/4.4.0-a_trg-^m-b_cot-^n.txt

Test file number \(108\)

Integral number in file \(35\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a \cot ^4(x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*cot(x)^4)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 4_Trig_functions/4.4_Cotangent/4.4.0-a_trg-^m-b_cot-^n.txt

Test file number \(108\)

Integral number in file \(36\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^3(x) \sqrt {a+b \cot ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)^3*(a+b*cot(x)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to convert to real sageVARb Error: Bad Argument ValueUnable to convert to real sageVARb Error: Bad A
rgument Val

input file name 4_Trig_functions/4.4_Cotangent/4.4.7-d_trig-^m-a+b-c_cot-^n-^p.txt

Test file number \(113\)

Integral number in file \(19\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^2(x) \sqrt {a+b \cot ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)^2*(a+b*cot(x)^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 4_Trig_functions/4.4_Cotangent/4.4.7-d_trig-^m-a+b-c_cot-^n-^p.txt

Test file number \(113\)

Integral number in file \(22\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^3(x) \left (a+b \cot ^2(x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)^3*(a+b*cot(x)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to convert to real sageVARb Error: Bad Argument ValueUnable to convert to real sageVARb Error: Bad A
rgument Val

input file name 4_Trig_functions/4.4_Cotangent/4.4.7-d_trig-^m-a+b-c_cot-^n-^p.txt

Test file number \(113\)

Integral number in file \(26\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^2(x) \left (a+b \cot ^2(x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cot(x)^2*(a+b*cot(x)^2)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 4_Trig_functions/4.4_Cotangent/4.4.7-d_trig-^m-a+b-c_cot-^n-^p.txt

Test file number \(113\)

Integral number in file \(27\)