Integrals 5601 to 5700

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x))^2}{x^2 \left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arctan(c*x))^2/x^2/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(1273\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.5_u-a+b_arctan-c+d_x-^p.txt

Test file number \(151\)

Integral number in file \(23\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (d+e x)}{a+b x+c x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arctan(e*x+d)/(c*x^2+b*x+a),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.5_u-a+b_arctan-c+d_x-^p.txt

Test file number \(151\)

Integral number in file \(62\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-i \arctan (a+b x)}}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(a-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(194\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-3 i \arctan (a+b x)}}{x^4} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(215\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(314\)

Maxima [F(-2)]

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

[In]

integrate(1/(1+I*a*x)/(a^2*x^2+1),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(324\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{3 i \arctan (a x)}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(330\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{i \arctan (a x)}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(332\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-2 i \arctan (a x)} x^2}{\left (c+a^2 c x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2/(1+I*a*x)^2*(a^2*x^2+1)/(a^2*c*x^2+c)^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(378\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-4 i \arctan (a x)} x^2}{\left (c+a^2 c x^2\right )^9} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2/(1+I*a*x)^4*(a^2*x^2+1)^2/(a^2*c*x^2+c)^9,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(379\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{5 i \arctan (a x)} x^2}{\left (c+a^2 c x^2\right )^{27/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((1+I*a*x)^5/(a^2*x^2+1)^(5/2)*x^2/(a^2*c*x^2+c)^(27/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(380\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{3 i \arctan (a x)} x^2}{\left (c+a^2 c x^2\right )^{11/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*x^2/(a^2*c*x^2+c)^(11/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(381\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{i \arctan (a x)} x^2}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)*x^2/(a^2*c*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(382\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (c+(1+i c) \tan (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arctan(c+(1+I*c)*tan(b*x+a))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(55\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (c+(-1+i c) \tan (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arctan(c+(-1+I*c)*tan(b*x+a))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(59\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (c+(1-i c) \cot (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(-arctan(-c-(1-I*c)*cot(b*x+a))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(68\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (c+(-1-i c) \cot (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(-arctan(-c-(-1-I*c)*cot(b*x+a))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(72\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan \left (\frac {c x}{\sqrt {a-c^2 x^2}}\right )^m}{\sqrt {d-\frac {c^2 d x^2}{a}}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(c*x/(-c^2*x^2+a)^(1/2))^m/(d-c^2*d*x^2/a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(134\)

Maxima [F(-2)]

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

[In]

integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^m/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found  sqrt((-_SAGE_VAR_b*_SAG
E_VAR_x^2)-_SAGE_VAR_a)

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(140\)

Maxima [F(-2)]

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

[In]

integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^2/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found  sqrt((-_SAGE_VAR_b*_SAG
E_VAR_x^2)-_SAGE_VAR_a)

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(141\)

Maxima [F(-2)]

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

[In]

integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found  sqrt((-_SAGE_VAR_b*_SAG
E_VAR_x^2)-_SAGE_VAR_a)

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(142\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b x^2} \arctan \left (\frac {e x}{\sqrt {-\frac {a e^2}{b}-e^2 x^2}}\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found  sqrt((-_SAGE_VAR_b*_SAG
E_VAR_x^2)-_SAGE_VAR_a)

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(143\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b x^2} \arctan \left (\frac {e x}{\sqrt {-\frac {a e^2}{b}-e^2 x^2}}\right )^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^2/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found  sqrt((-_SAGE_VAR_b*_SAG
E_VAR_x^2)-_SAGE_VAR_a)

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(144\)

Maxima [F(-2)]

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

[In]

integrate(1/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^3/(b*x^2+a)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found  sqrt((-_SAGE_VAR_b*_SAG
E_VAR_x^2)-_SAGE_VAR_a)

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(145\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (c (a+b x)) \log (d (a+b x))}{a+b x} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctan(c*(b*x+a))*log(d*(b*x+a))/(b*x+a),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.7_Inverse_tangent_functions.txt

Test file number \(153\)

Integral number in file \(146\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c+d x^2} \cot ^{-1}(a x) \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(59\)

Maxima [F(-2)]

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

[In]

integrate(arccot(a*x)/(d*x^2+c)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(61\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a x)}{\left (c+d x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccot(a*x)/(d*x^2+c)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(62\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a x)}{\left (c+d x^2\right )^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccot(a*x)/(d*x^2+c)^(7/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(63\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a x)}{\left (c+d x^2\right )^{9/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccot(a*x)/(d*x^2+c)^(9/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for
more detail

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(64\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(d+e x)}{a+b x+c x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccot(e*x+d)/(c*x^2+b*x+a),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(113\)

Maxima [F(-2)]

Exception generated. \[ \int (a+b x)^2 \sqrt {\cot ^{-1}(a+b x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(128\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c+(1+i c) \tan (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccot(c+(1+I*c)*tan(b*x+a))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(165\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c-(1-i c) \tan (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(arccot(c-(1-I*c)*tan(b*x+a))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(169\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(pi-arccot(-c-(1-I*c)*cot(b*x+a))),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(175\)

Maxima [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*(pi-arccot(-c-(1-I*c)*cot(b*x+a))),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(176\)

Maxima [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(pi-arccot(-c-(1-I*c)*cot(b*x+a)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(177\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c+(1-i c) \cot (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((pi-arccot(-c-(1-I*c)*cot(b*x+a)))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(178\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(pi-arccot(-c+(1+I*c)*cot(b*x+a))),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(179\)

Maxima [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*(pi-arccot(-c+(1+I*c)*cot(b*x+a))),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(180\)

Maxima [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(pi-arccot(-c+(1+I*c)*cot(b*x+a)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(181\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c-(1+i c) \cot (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((pi-arccot(-c+(1+I*c)*cot(b*x+a)))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c-1>0)', see `assume?` for mor
e details)Is

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(182\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x)^{3/2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x+d)^(3/2)*(a+b*arcsec(c*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for m
ore details)

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(63\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {d+e x} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x+d)^(1/2)*(a+b*arcsec(c*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for m
ore details)

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(64\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/(e*x+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for m
ore details)

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(65\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{(d+e x)^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for m
ore details)

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(66\)

Maxima [F(-2)]

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

[In]

integrate((a+b*arcsec(c*x))/(e*x+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for m
ore details)

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(67\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{(d+e x)^{7/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x+d)^(7/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for m
ore details)

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(68\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (a+b \sec ^{-1}(c x)\right )}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(91\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{d+e x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(93\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^2 \left (d+e x^2\right )} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^2/(e*x^2+d),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(95\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^4*(a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(100\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(101\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(102\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^2 \left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^2/(e*x^2+d)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(103\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^4*(a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(108\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(109\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d)^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(110\)

Maxima [F(-2)]

Exception generated. \[ \int x^5 \sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(111\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^3*(a+b*arcsec(c*x))*(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(112\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right )}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))*(e*x^2+d)^(1/2)/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(114\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right )}{x^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))*(e*x^2+d)^(1/2)/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(115\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arcsec(c*x))*(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(116\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))*(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(117\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right )}{x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))*(e*x^2+d)^(1/2)/x^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(118\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right )}{x^4} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(119\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} \left (a+b \sec ^{-1}(c x)\right )}{x^6} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))*(e*x^2+d)^(1/2)/x^6,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(120\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^3*(e*x^2+d)^(3/2)*(a+b*arcsec(c*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(121\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right )}{x} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x^2+d)^(3/2)*(a+b*arcsec(c*x))/x,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(123\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right )}{x^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x^2+d)^(3/2)*(a+b*arcsec(c*x))/x^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(124\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(e*x^2+d)^(3/2)*(a+b*arcsec(c*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(125\)

Maxima [F(-2)]

Exception generated. \[ \int \left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x^2+d)^(3/2)*(a+b*arcsec(c*x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(126\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right )}{x^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x^2+d)^(3/2)*(a+b*arcsec(c*x))/x^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(127\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right )}{x^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x^2+d)^(3/2)*(a+b*arcsec(c*x))/x^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(128\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right )}{x^6} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x^2+d)^(3/2)*(a+b*arcsec(c*x))/x^6,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(129\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (a+b \sec ^{-1}(c x)\right )}{x^8} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((e*x^2+d)^(3/2)*(a+b*arcsec(c*x))/x^8,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(130\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b \sec ^{-1}(c x)\right )}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(131\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 \left (a+b \sec ^{-1}(c x)\right )}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^3*(a+b*arcsec(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(132\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(134\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^3 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^3/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(135\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (a+b \sec ^{-1}(c x)\right )}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(136\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(137\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^2 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^2/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(138\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^4 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(139\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^6 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^6/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(140\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^5*(a+b*arcsec(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(141\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^3*(a+b*arcsec(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(142\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(144\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^3 \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^3/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(145\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^4*(a+b*arcsec(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(146\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(147\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(148\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^2 \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^2/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(149\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^4 \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^4/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(150\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^5*(a+b*arcsec(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(151\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^3*(a+b*arcsec(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(152\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*(a+b*arcsec(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(153\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(154\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^3 \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arcsec(c*x))/x^3/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 5_Inverse_trig_functions/5.5_Inverse_secant/5.5.1_u-a+b_arcsec-c_x-^n.txt

Test file number \(156\)

Integral number in file \(155\)