Integrals 101 to 200

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number \(24\)

Integral number in file \(28\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^n (e+f x)}{(g+h x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,1,1,1,1,0,0]%%%}+%%%{1,[0,1,1,0,0,1,1]%%%} / %%%{1,[ 
0,0,0,0,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number \(24\)

Integral number in file \(137\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^n (e+f x)^2}{(g+h x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,1,2,2,0,0]%%%}+%%%{-2,[0,1,1,1,1,1,1]%%%}+%%%{1,[0, 
1,1,0,0,2
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number \(24\)

Integral number in file \(142\)

Giac [F(-2)]

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

integrate((-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e),x, algorithm= 
"giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(35\)

Giac [F(-2)]

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

integrate((-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^2,x, algorith 
m="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(36\)

Giac [F(-2)]

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

integrate((-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^3,x, algorith 
m="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(37\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e),x, algorithm= 
"giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(42\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e)^2,x, algorith 
m="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(43\)

Giac [F(-2)]

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

integrate((C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e)^3,x, algorith 
m="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(44\)

Giac [F(-2)]

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

integrate((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)/(f*x+e),x, algori 
thm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(49\)

Giac [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(f*x+e),x, algori 
thm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(56\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(66\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(72\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(79\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+C x^2}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x} \sqrt {g+h x}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((C*x^2+A)/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2 
),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m operator + Error: 
Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/28_1.1.1.8

Test file number \(28\)

Integral number in file \(35\)

Giac [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^ 
(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m operator + Error: 
Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/28_1.1.1.8

Test file number \(28\)

Integral number in file \(41\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\frac {2 c d-b e+\sqrt {b^2-4 a c} e}{2 c f-b g+\sqrt {b^2-4 a c} g}-x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/((2*c*d-b*e+(-4*a*c+b^2)^(1/2)*e)/(2*c*f-b*g+(-4*a*c+b^2)^(1/2 
)*g)-x^2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/29_1.1.2.1

Test file number \(29\)

Integral number in file \(29\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\frac {2 c d f-b e f+\sqrt {b^2-4 a c} e f-b d g-\sqrt {b^2-4 a c} d g+2 a e g}{2 c f^2-2 b f g+2 a g^2}-x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/((2*c*d*f-b*e*f+(-4*a*c+b^2)^(1/2)*e*f-b*d*g-(-4*a*c+b^2)^(1/2 
)*d*g+2*a*e*g)/(2*a*g^2-2*b*f*g+2*c*f^2)-x^2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/29_1.1.2.1

Test file number \(29\)

Integral number in file \(30\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/31_1.1.2.3

Test file number \(31\)

Integral number in file \(71\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/31_1.1.2.3

Test file number \(31\)

Integral number in file \(80\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1+\frac {2 c x^2}{b-\sqrt {b^2-4 a c}}}}{\sqrt {1-\frac {2 c x^2}{b+\sqrt {b^2-4 a c}}}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.Non regula 
r value [
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/31_1.1.2.3

Test file number \(31\)

Integral number in file \(234\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1-\frac {2 c x^2}{b-\sqrt {b^2-4 a c}}}}{\sqrt {1+\frac {2 c x^2}{b+\sqrt {b^2-4 a c}}}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.Non regula 
r value [
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/31_1.1.2.3

Test file number \(31\)

Integral number in file \(237\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \sqrt {c+d x^2}}{a+b x^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(924\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(925\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(934\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(935\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(936\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(944\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(945\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(946\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(947\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(956\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(957\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(967\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(968\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^8/(b*x^2+a)/(d*x^2+c)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(980\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^6/(b*x^2+a)/(d*x^2+c)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(981\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1011\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(e x)^{11/2}}{\left (a-b x^2\right )^2 \left (c-d x^2\right )^{5/2}} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((e*x)^(11/2)/(-b*x^2+a)^2/(-d*x^2+c)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1156\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1170\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1181\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1192\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1289\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1296\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^{11}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-b*x^2+a)^(1/2)*(b*x^2+a)^(1/2)/x^11,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1297\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^{15}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-b*x^2+a)^(1/2)*(b*x^2+a)^(1/2)/x^15,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1298\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1310\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1311\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1318\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1319\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1322\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1339\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1348\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1349\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1353\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1354\)

Giac [F(-2)]

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

integrate((e*x)^(7/2)/(-b*x^2+1)^(1/2)/(b*x^2+1)^(1/2),x, algorithm="giac" 
)
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1368\)

Giac [F(-2)]

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

integrate((e*x)^(5/2)/(-b*x^2+1)^(1/2)/(b*x^2+1)^(1/2),x, algorithm="giac" 
)
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve 
cteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1369\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve 
cteur & l) Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1376\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1378\)

Giac [F(-2)]

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

integrate((e*x)^m*(-b*x^2+1)^(3/2)*(b*x^2+1)^(3/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1390\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1391\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(263\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(270\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(276\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(293\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(300\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(304\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(308\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(315\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(319\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(325\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(328\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(345\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(349\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/33_1.1.2.5

Test file number \(33\)

Integral number in file \(373\)

Giac [F(-2)]

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

integrate((b*x^2+a)^(1/2)*(D*x^3+C*x^2+B*x+A)/x,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/36_1.1.2.8

Test file number \(36\)

Integral number in file \(65\)

Giac [F(-2)]

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

integrate((b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/x,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/36_1.1.2.8

Test file number \(36\)

Integral number in file \(78\)

Giac [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/36_1.1.2.8

Test file number \(36\)

Integral number in file \(94\)

Giac [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/36_1.1.2.8

Test file number \(36\)

Integral number in file \(104\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x^2} \left (A+B x^2+C x^4\right )}{c+f x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((b*x^2+a)^(1/2)*(C*x^4+B*x^2+A)/(f*x^2+c),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/37_1.1.2.9

Test file number \(37\)

Integral number in file \(6\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x^2} \left (A+B x^2+C x^4\right )}{\left (c+d x^2\right ) \left (e+f x^2\right )^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((b*x^2+a)^(1/2)*(C*x^4+B*x^2+A)/(d*x^2+c)/(f*x^2+e)^2,x, algorit 
hm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/38_1.1.2.11

Test file number \(38\)

Integral number in file \(5\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve 
cteur & l) Error: Bad Argument Value3*(-2*1/2/sageVARb*sageVARx^(1/3)*sqrt 
(sageVARa+sa
 

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 \(138\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage3:=type(sage2):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m 
& i,const vecteur & l) Error: Bad Argument ValueDone
 

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 \(150\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:simplify: Polynomials do not have t 
he same dimension Error: Bad Argument Value
 

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 \(152\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve 
cteur & l) Error: Bad Argument Valueintegrate(sageVARx^3*sign(sageVARx)^2/ 
(((sageVARx*
 

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 \(160\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{(c x)^{11/2} \left (a+b x^3\right )^{3/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb*sageVARc/(sageVARc^4*t_nostep^6)) ig 
nored324*sageVARb^2/486/sageVARc^5/sageVARa^3*sqrt(sageVARc*sageVARx)*sqrt 
(sageVARc*sageVARx)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/43_1.1.3.2_a

Test file number \(43\)

Integral number in file \(341\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x^{17/2} \sqrt {1+x^5}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x^(17/2)/(x^5+1)^(1/2),x, algorithm="giac")
 

Output:

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

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 \(76\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x^{10} \sqrt {2+x^6}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x^10/(x^6+2)^(1/2),x, algorithm="giac")
 

Output:

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

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 \(157\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x^{16} \sqrt {2+x^6}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x^16/(x^6+2)^(1/2),x, algorithm="giac")
 

Output:

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

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 \(158\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x^{10} \left (2+x^6\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/x^10/(x^6+2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve 
cteur & l) Error: Bad Argument Value
 

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 \(182\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(147\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(156\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(157\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(166\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(167\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(168\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(482\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(502\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/46_1.1.3.2_d

Test file number \(46\)

Integral number in file \(570\)