Integrals 401 to 500

Fricas [F(-2)]

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

[In]

integrate((A+B*log(x))/(a+b*log(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.5_Logarithm_functions.txt

Test file number \(64\)

Integral number in file \(303\)

Fricas [F(-2)]

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

[In]

integrate((A+B*log(x))/(a-b*log(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 3_Logarithms/3.5_Logarithm_functions.txt

Test file number \(64\)

Integral number in file \(304\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sin ^{\frac {3}{2}}(e+f x)}+x \sqrt {\sin (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sin(f*x+e)^(3/2)+x*sin(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(67\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x^2}{\sin ^{\frac {3}{2}}(e+f x)}+x^2 \sqrt {\sin (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/sin(f*x+e)^(3/2)+x^2*sin(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(68\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sin ^{\frac {7}{2}}(e+f x)}+\frac {3}{5} x \sqrt {\sin (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sin(f*x+e)^(7/2)+3/5*x*sin(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(70\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\csc ^{\frac {3}{2}}(e+f x)}-\frac {1}{3} x \sqrt {\csc (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/csc(f*x+e)^(3/2)-1/3*x*csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(91\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x^2}{\csc ^{\frac {3}{2}}(e+f x)}-\frac {1}{3} x^2 \sqrt {\csc (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/csc(f*x+e)^(3/2)-1/3*x^2*csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(92\)

Fricas [F(-2)]

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

[In]

integrate(x/csc(f*x+e)^(5/2)-3/5*x/csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(93\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\csc ^{\frac {7}{2}}(e+f x)}-\frac {5}{21} x \sqrt {\csc (e+f x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/csc(f*x+e)^(7/2)-5/21*x*csc(f*x+e)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(94\)

Fricas [F(-2)]

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

[In]

integrate(x^3*(a+a*sin(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(122\)

Fricas [F(-2)]

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

[In]

integrate(x^2*(a+a*sin(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(123\)

Fricas [F(-2)]

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

[In]

integrate(x*(a+a*sin(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(124\)

Fricas [F(-2)]

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

[In]

integrate((a+a*sin(d*x+c))^(1/2)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(125\)

Fricas [F(-2)]

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

[In]

integrate((a+a*sin(d*x+c))^(1/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(126\)

Fricas [F(-2)]

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

[In]

integrate((a+a*sin(d*x+c))^(1/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(127\)

Fricas [F(-2)]

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

[In]

integrate(x^3*(a+a*sin(f*x+e))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(128\)

Fricas [F(-2)]

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

[In]

integrate(x^2*(a+a*sin(f*x+e))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(129\)

Fricas [F(-2)]

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

[In]

integrate(x*(a+a*sin(f*x+e))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(130\)

Fricas [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^(3/2)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(131\)

Fricas [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^(3/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(132\)

Fricas [F(-2)]

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

[In]

integrate((a+a*sin(f*x+e))^(3/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(133\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{a+a \sin (c+d x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*sin(d*x+c))^(1/3)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(144\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(e+f x)^3 \csc (c+d x)}{a+b \sin (c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x+e)^3*csc(d*x+c)/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(232\)

Fricas [F(-2)]

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

[In]

integrate((f*x+e)^3*csc(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(236\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(e+f x)^3 \cos (c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x+e)^3*cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(325\)

Fricas [F(-2)]

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

[In]

integrate((f*x+e)^3*cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(329\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(e+f x)^3 \cos ^3(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x+e)^3*cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(333\)

Fricas [F(-2)]

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

[In]

integrate((f*x+e)^3*cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(337\)

Fricas [F(-2)]

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

[In]

integrate((f*x+e)^3*cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(341\)

Fricas [F(-2)]

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

[In]

integrate((f*x+e)^3*cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   Too many variables

input file name 4_Trig_functions/4.1_Sine/4.1.10-c+d_x-^m-a+b_sin-^n.txt

Test file number \(66\)

Integral number in file \(345\)

Fricas [F(-2)]

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

[In]

integrate(1/(e*cos(d*x+c))^(5/2)/(a+b*sin(d*x+c))^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.1_Sine/4.1.1.2-g_cos-^p-a+b_sin-^m.txt

Test file number \(70\)

Integral number in file \(592\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(e \cos (c+d x))^{11/2}}{(a+b \sin (c+d x))^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((e*cos(d*x+c))^(11/2)/(a+b*sin(d*x+c))^4,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.1_Sine/4.1.1.2-g_cos-^p-a+b_sin-^m.txt

Test file number \(70\)

Integral number in file \(607\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {e \cos (c+d x)} (a+b \sin (c+d x))^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*sin(d*x+c))^4/(e*cos(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.1_Sine/4.1.1.2-g_cos-^p-a+b_sin-^m.txt

Test file number \(70\)

Integral number in file \(613\)

Fricas [F(-2)]

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

[In]

integrate((c*sin(b*x+a)^m)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(19\)

Fricas [F(-2)]

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

[In]

integrate((c*sin(b*x+a)^m)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(20\)

Fricas [F(-2)]

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

[In]

integrate((c*sin(b*x+a)^m)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(21\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c \sin ^m(a+b x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(c*sin(b*x+a)^m)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(22\)

Fricas [F(-2)]

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

[In]

integrate(1/(c*sin(b*x+a)^m)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(23\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c \sin ^m(a+b x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(c*sin(b*x+a)^m)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(24\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \sin ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a+b*sin(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(249\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a-b \sin ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a-b*sin(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(252\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   failed of mode Union(SparseUnivariatePol
ynomial(Expression(Complex(Integer))),failed) cannot be coerced to mode SparseUnivariatePolynomial(Expression(
Complex(Int

input file name 4_Trig_functions/4.1_Sine/4.1.7-d_trig-^m-a+b-c_sin-^n-^p.txt

Test file number \(79\)

Integral number in file \(554\)

Fricas [F(-2)]

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

[In]

integrate((c*cos(b*x+a)^m)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.0-a_cos-^m-b_trg-^n.txt

Test file number \(82\)

Integral number in file \(58\)

Fricas [F(-2)]

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

[In]

integrate((c*cos(b*x+a)^m)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.0-a_cos-^m-b_trg-^n.txt

Test file number \(82\)

Integral number in file \(59\)

Fricas [F(-2)]

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

[In]

integrate((c*cos(b*x+a)^m)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.0-a_cos-^m-b_trg-^n.txt

Test file number \(82\)

Integral number in file \(60\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c \cos ^m(a+b x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(c*cos(b*x+a)^m)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.0-a_cos-^m-b_trg-^n.txt

Test file number \(82\)

Integral number in file \(61\)

Fricas [F(-2)]

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

[In]

integrate(1/(c*cos(b*x+a)^m)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.0-a_cos-^m-b_trg-^n.txt

Test file number \(82\)

Integral number in file \(62\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c \cos ^m(a+b x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(c*cos(b*x+a)^m)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.0-a_cos-^m-b_trg-^n.txt

Test file number \(82\)

Integral number in file \(63\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(75\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(77\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(78\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(80\)

Fricas [F(-2)]

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

[In]

integrate(x*cos(b*x+a)^(3/2)-1/3*x/cos(b*x+a)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(81\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\cos ^{\frac {3}{2}}(x)}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(cos(x)^(3/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(82\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(83\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x \sqrt {\cos (a+b x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(85\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(86\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x \cos ^{\frac {3}{2}}(a+b x)} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (co
nstant residues)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(88\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(89\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\cos ^{\frac {3}{2}}(x)}+x \sqrt {\cos (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/cos(x)^(3/2)+x*cos(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(90\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\cos ^{\frac {7}{2}}(x)}+\frac {3}{5} x \sqrt {\cos (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/cos(x)^(7/2)+3/5*x*cos(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(92\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x^2}{\cos ^{\frac {3}{2}}(x)}+x^2 \sqrt {\cos (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/cos(x)^(3/2)+x^2*cos(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(93\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sec ^{\frac {3}{2}}(x)}-\frac {1}{3} x \sqrt {\sec (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sec(x)^(3/2)-1/3*x*sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(94\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sec ^{\frac {5}{2}}(x)}-\frac {3 x}{5 \sqrt {\sec (x)}}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sec(x)^(5/2)-3/5*x/sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(95\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sec ^{\frac {7}{2}}(x)}-\frac {5}{21} x \sqrt {\sec (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/sec(x)^(7/2)-5/21*x*sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(96\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x^2}{\sec ^{\frac {3}{2}}(x)}-\frac {1}{3} x^2 \sqrt {\sec (x)}\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/sec(x)^(3/2)-1/3*x^2*sec(x)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(97\)

Fricas [F(-2)]

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

[In]

integrate(x^3*(a+a*cos(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(143\)

Fricas [F(-2)]

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

[In]

integrate(x^2*(a+a*cos(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(144\)

Fricas [F(-2)]

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

[In]

integrate(x*(a+a*cos(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(145\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(d*x+c))^(1/2)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(147\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(d*x+c))^(1/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(148\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(d*x+c))^(1/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(149\)

Fricas [F(-2)]

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

[In]

integrate(x^3*(a+a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(150\)

Fricas [F(-2)]

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

[In]

integrate(x^2*(a+a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(151\)

Fricas [F(-2)]

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

[In]

integrate(x*(a+a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(152\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+a \cos (x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*cos(x))^(1/2)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(154\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(x))^(1/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(155\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(x))^(1/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(156\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 \sqrt {a-a \cos (x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(a-a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(157\)

Fricas [F(-2)]

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

[In]

integrate(x^2*(a-a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(158\)

Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {a-a \cos (x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(a-a*cos(x))^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(159\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a-a \cos (x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a-a*cos(x))^(1/2)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(161\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a-a \cos (x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a-a*cos(x))^(1/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(162\)

Fricas [F(-2)]

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

[In]

integrate((a-a*cos(x))^(1/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(163\)

Fricas [F(-2)]

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

[In]

integrate(x^3*(a+a*cos(x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(164\)

Fricas [F(-2)]

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

[In]

integrate(x^2*(a+a*cos(x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(165\)

Fricas [F(-2)]

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

[In]

integrate(x*(a+a*cos(x))^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(166\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(x))^(3/2)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(167\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(x))^(3/2)/x^2,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(168\)

Fricas [F(-2)]

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

[In]

integrate((a+a*cos(x))^(3/2)/x^3,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(169\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{a+a \cos (c+d x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+a*cos(d*x+c))^(1/3)/x,x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.2_Cosine/4.2.10-c+d_x-^m-a+b_cos-^n.txt

Test file number \(83\)

Integral number in file \(184\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {-1+\cos ^2(x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(-1+cos(x)^2)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(52\)

Fricas [F(-2)]

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

[In]

integrate(1/(-1+cos(x)^2)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(54\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \cos ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a+b*cos(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(74\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a-b \cos ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(a-b*cos(x)^5),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(77\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   failed of mode Union(SparseUnivariatePol
ynomial(Expression(Complex(Integer))),failed) cannot be coerced to mode SparseUnivariatePolynomial(Expression(
Complex(Int

input file name 4_Trig_functions/4.2_Cosine/4.2.7-d_trig-^m-a+b-c_cos-^n-^p.txt

Test file number \(95\)

Integral number in file \(94\)

Fricas [F(-2)]

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

[In]

integrate((b*tan(d*x+c)^p)^(5/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(46\)

Fricas [F(-2)]

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

[In]

integrate((b*tan(d*x+c)^p)^(3/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(47\)

Fricas [F(-2)]

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

[In]

integrate((b*tan(d*x+c)^p)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(48\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {b \tan ^p(c+d x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(b*tan(d*x+c)^p)^(1/2),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ha
s polynomial part)

input file name 4_Trig_functions/4.3_Tangent/4.3.0-a_trg-^m-b_tan-^n.txt

Test file number \(98\)

Integral number in file \(49\)