2.1.0 Integrals 1 to 100

Integrals 1 to 100

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/2_Bondarenko_Problems

Test ﬁle number \(2\)

Integral number in ﬁle \(7\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/2_Bondarenko_Problems

Test ﬁle number \(2\)

Integral number in ﬁle \(8\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/3_Bronstein_Problems

Test ﬁle number \(3\)

Integral number in ﬁle \(10\)

Fricas [F(-2)]

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

integrate(1/(1+x^(2*n))/(-x^2+(1+x^(2*n))^(1/n))^(1/2),x, algorithm="frica 
s")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test ﬁle number \(11\)

Integral number in ﬁle \(329\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   not 
invertible

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test ﬁle number \(11\)

Integral number in ﬁle \(417\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sec ^2(x) \tan (x) \left (\sqrt [3]{1-3 \sec ^2(x)} \sin ^2(x)+3 \tan ^2(x)\right )}{\left (1-3 \sec ^2(x)\right )^{5/6} \left (1-\sqrt {1-3 \sec ^2(x)}\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(x)*((1-3*sec(x)^2)^(1/3)*sin(x)^2+3*tan(x)^2)/cos(x)^2/(1-3* 
sec(x)^2)^(5/6)/(1-(1-3*sec(x)^2)^(1/2)),x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   Curv 
e not irreducible after change of variable 0 -> infinity

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test ﬁle number \(11\)

Integral number in ﬁle \(446\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\cos \left (\frac {3 x}{2}\right )}{\sqrt [4]{3^{3 x}}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(cos(3/2*x)/(3^(3*x))^(1/4),x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test ﬁle number \(11\)

Integral number in ﬁle \(543\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (residue poly has multiple non-linear fac 
tors)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(38\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (residue poly has multiple non-linear fac 
tors)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(46\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (trace 0)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(53\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (trace 0)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(54\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{1-x^3}}{1+x} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (residue poly has multiple non-linear fac 
tors)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(58\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{1-x^3}}{2+x} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (residue poly has multiple non-linear fac 
tors)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(60\)

Fricas [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(84\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (residue poly has multiple non-linear fac 
tors)

input ﬁle name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test ﬁle number \(12\)

Integral number in ﬁle \(92\)

Fricas [F(-2)]

Exception generated. \[ \int (1-x)^{2014} x \, dx=\text {Exception raised: RecursionError} \] Input:

integrate((1-x)^2014*x,x, algorithm="fricas")

Output:

Exception raised: RecursionError >> maximum recursion depth exceeded

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/15_1.1.1.2a

Test ﬁle number \(15\)

Integral number in ﬁle \(115\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.1/42_1.1.3.1_c

Test ﬁle number \(42\)

Integral number in ﬁle \(177\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a+b x^n} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.1/42_1.1.3.1_c

Test ﬁle number \(42\)

Integral number in ﬁle \(178\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.1/42_1.1.3.1_c

Test ﬁle number \(42\)

Integral number in ﬁle \(179\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.1/42_1.1.3.1_c

Test ﬁle number \(42\)

Integral number in ﬁle \(180\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.1/42_1.1.3.1_c

Test ﬁle number \(42\)

Integral number in ﬁle \(181\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b x^7} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(b*x^7+a),x, algorithm="fricas")

Output:

Exception raised: RuntimeError >> no explicit roots found

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/45_1.1.3.2_c

Test ﬁle number \(45\)

Integral number in ﬁle \(228\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a-b x^7} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(-b*x^7+a),x, algorithm="fricas")

Output:

Exception raised: RuntimeError >> no explicit roots found

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/45_1.1.3.2_c

Test ﬁle number \(45\)

Integral number in ﬁle \(231\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(153\)

Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {a+b x^n} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(505\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a+b x^n} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(506\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x^n}}{x^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(508\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(509\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(510\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(511\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(513\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(514\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(515\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(516\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(518\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(5/2)/x^3,x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(519\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(520\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(521\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(523\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(524\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(525\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(526\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(528\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(529\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(530\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(531\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(533\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \left (a+b x^n\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x^3/(a+b*x^n)^(5/2),x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(534\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(591\)

Fricas [F(-2)]

Exception generated. \[ \int x^m \sqrt {a+b x^n} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(592\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^m}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(593\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(594\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(595\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(596\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(597\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{3-n}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(598\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{3-2 n}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(599\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{m+2 n}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(600\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{m+n}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(601\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{m-n}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(602\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{m-2 n}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(603\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(604\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{-1+\frac {n}{2}}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(608\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{-1-\frac {n}{2}}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(609\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{-1-\frac {3 n}{2}}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(610\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{-1-\frac {5 n}{2}}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(-1-5/2*n)/(a+b*x^n)^(1/2),x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(611\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{-1-\frac {7 n}{2}}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(-1-7/2*n)/(a+b*x^n)^(1/2),x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(612\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(613\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(614\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(615\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^m}{\sqrt {a+b x^{2+2 m}}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(616\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^m}{\sqrt {a+b x^{-2+m}}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(622\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^m}{\sqrt {a+b x^{2-m}}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(623\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {6 a x^2}{b (4+m) \sqrt {a+b x^{-2+m}}}+\frac {x^m}{\sqrt {a+b x^{-2+m}}}\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(6*a*x^2/b/(4+m)/(a+b*x^(-2+m))^(1/2)+x^m/(a+b*x^(-2+m))^(1/2),x, 
 algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(624\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(626\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(627\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(628\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^{-1+\frac {n}{3}}}{\sqrt [3]{a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(629\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(630\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(680\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(681\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(682\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(c x)^{-1-\frac {5 n}{2}}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(683\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(c x)^{-1-\frac {7 n}{2}}}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x)^(-1-7/2*n)/(a+b*x^n)^(1/2),x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test ﬁle number \(47\)

Integral number in ﬁle \(684\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/49_1.1.3.2_g

Test ﬁle number \(49\)

Integral number in ﬁle \(65\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/49_1.1.3.2_g

Test ﬁle number \(49\)

Integral number in ﬁle \(67\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/49_1.1.3.2_g

Test ﬁle number \(49\)

Integral number in ﬁle \(68\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [4]{c+d x^n}}{\left (a+b x^n\right )^{15/4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c+d*x^n)^(1/4)/(a+b*x^n)^(15/4),x, algorithm="fricas")

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/50_1.1.3.3_a

Test ﬁle number \(50\)

Integral number in ﬁle \(1\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (trace 0)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(1\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(64\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a-b x^n} \sqrt {a+b x^n} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(65\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(95\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a+b x^n} \left (c+d x^n\right ) \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(96\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(99\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {c+d x^n}{\sqrt {a+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(100\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(103\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(104\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(107\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(108\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test ﬁle number \(52\)

Integral number in ﬁle \(111\)

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