Integrals 201 to 300

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 \(571\)

Giac [F(-2)]

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

integrate((c*x)^(3*n)*(a+b*x^n)^p,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,[2,0,6,4,2,4,4]%%%}+%%%{4,[2,0,6,4,2,3,4]%%%}+%%%{6,[2,0 
,6,4,2,2,
 

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 \(687\)

Giac [F(-2)]

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

integrate((c*x)^(2*n)*(a+b*x^n)^p,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,[1,0,4,3,1,3,3]%%%}+%%%{-3,[1,0,4,3,1,2,3]%%%}+%%%{-3,[ 
1,0,4,3,1
 

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 \(688\)

Giac [F(-2)]

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

integrate((c*x)^n*(a+b*x^n)^p,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,[0,0,2,1,0,1,2]%%%}+%%%{-1,[0,0,2,1,0,0,2]%%%} / %%%{1, 
[0,0,3,2,
 

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 \(689\)

Giac [F(-2)]

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

integrate(1/(c*(b*x+a)^2)^(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/1.1.3_General_binomial/1.1.3.2/48_1.1.3.2_f

Test file number \(48\)

Integral number in file \(5\)

Giac [F(-2)]

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

integrate(1/(c*(b*x+a)^2)^(5/2),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/1.1.3.2/48_1.1.3.2_f

Test file number \(48\)

Integral number in file \(6\)

Giac [F(-2)]

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

integrate(1/(c/(b*x+a)^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/1.1.3.2/48_1.1.3.2_f

Test file number \(48\)

Integral number in file \(27\)

Giac [F(-2)]

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

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

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/48_1.1.3.2_f

Test file number \(48\)

Integral number in file \(120\)

Giac [F(-2)]

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

integrate((c/(b*x^2+a)^(1/2))^(3/2)/x^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,[0,1,0,0]%%%} / %%%{1,[0,0,1,2]%%%} Error: Bad Argument 
Value
 

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

Test file number \(49\)

Integral number in file \(58\)

Giac [F(-2)]

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

integrate((c/(b*x^2+a)^(1/2))^(3/2)/x^4,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,[0,1,1,2,0,0]%%%}+%%%{-1,[0,1,0,0,1,0]%%%} / %%%{1,[0,0, 
2,0,0,2]%
 

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 \(59\)

Giac [F(-2)]

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

integrate((a+b/x)^(1/2)*(c+d/x)^3,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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(4\)

Giac [F(-2)]

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

integrate((a+b/x)^(1/2)*(c+d/x)^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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(5\)

Giac [F(-2)]

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

integrate((a+b/x)^(1/2)*(c+d/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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(6\)

Giac [F(-2)]

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

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

Output:

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

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 \(8\)

Giac [F(-2)]

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

integrate((a+b/x)^(3/2)*(c+d/x)^3,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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(11\)

Giac [F(-2)]

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

integrate((a+b/x)^(3/2)*(c+d/x)^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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(12\)

Giac [F(-2)]

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

integrate((a+b/x)^(3/2)*(c+d/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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(13\)

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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(14\)

Giac [F(-2)]

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

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

Output:

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

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 \(15\)

Giac [F(-2)]

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

integrate((a+b/x)^(5/2)*(c+d/x)^3,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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(18\)

Giac [F(-2)]

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

integrate((a+b/x)^(5/2)*(c+d/x)^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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(19\)

Giac [F(-2)]

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

integrate((a+b/x)^(5/2)*(c+d/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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(20\)

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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(21\)

Giac [F(-2)]

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

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

Output:

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

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 \(22\)

Giac [F(-2)]

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

integrate((c+d/x)^3/(a+b/x)^(1/2),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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(25\)

Giac [F(-2)]

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

integrate((c+d/x)^2/(a+b/x)^(1/2),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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(26\)

Giac [F(-2)]

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

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

Output:

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

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 \(29\)

Giac [F(-2)]

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

integrate((c+d/x)^3/(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/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(32\)

Giac [F(-2)]

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

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

Output:

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

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 \(36\)

Giac [F(-2)]

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

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

Output:

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

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 \(37\)

Giac [F(-2)]

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

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

Output:

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

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 \(43\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n)^3,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,[2,0,6,4,2,4,4,3,0]%%%}+%%%{4,[2,0,6,4,2,3,4,3,0]%%%}+%% 
%{6,[2,0,
 

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 \(119\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,1,2,3,2,0]%%%}+ 
%%%{-3,[1
 

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 \(120\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,2,1,0,1]%%%}+%%%{2,[0,0,2,2,1,1,1,0,1]%%%}+%% 
%{1,[0,0,
 

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 \(121\)

Giac [F(-2)]

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

integrate((a+b*x^n)^3*(c+d*x^n)^(-4-1/n),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%%%{81,[2,0,6,4,2,4,3,0]%%%}+%%%{108,[2,0,6,3,2,4,3,0]%%%}+%%% 
{54,[2,0,
 

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 \(127\)

Giac [F(-2)]

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

integrate((a+b*x^n)^2*(c+d*x^n)^(-3-1/n),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%%%{8,[1,0,4,3,1,3,2,0]%%%}+%%%{12,[1,0,4,2,1,3,2,0]%%%}+%%%{6 
,[1,0,4,1
                                                                                    
                                                                                    
 

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 \(128\)

Giac [F(-2)]

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

integrate((a+b*x^n)*(c+d*x^n)^(-2-1/n),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,[0,0,2,2,1,1,0,1]%%%}+%%%{1,[0,0,2,1,1,1,0,1]%%%}+%%%{1, 
[0,0,2,1,
 

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 \(129\)

Giac [F(-2)]

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

integrate((a+b*x^n)^2*(c+d*x^n)^(-4-1/n),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%%%{27,[1,0,4,3,1,3,2,0]%%%}+%%%{27,[1,0,4,2,1,3,2,0]%%%}+%%%{ 
9,[1,0,4,
 

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 \(136\)

Giac [F(-2)]

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

integrate((a+b*x^n)*(c+d*x^n)^(-3-1/n),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%%%{4,[0,0,2,2,1,1,0,1]%%%}+%%%{2,[0,0,2,1,1,1,0,1]%%%}+%%%{2, 
[0,0,2,1,
 

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 \(137\)

Giac [F(-2)]

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

integrate((b*x^3+a)^(1/2)*(B*x^3+A)/(e*x)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb*sageVARe/(sageVARe^4*t_nostep^6)) ig 
nored1/sageVARe^3/((1/sageVARe)^2)*2*sageVARe*sageVARB/6/sageVARe^6*sqrt(s 
ageVARe*sageVARx)*s
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(244\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb*sageVARe/(sageVARe^4*t_nostep^6)) ig 
nored1/sageVARe^3/((1/sageVARe)^2)*2*(120*sageVARb^5*sageVARe^6*sageVARB/1 
440/sageVARb^4/sage
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(255\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb*sageVARe/(sageVARe^4*t_nostep^6)) ig 
nored1/sageVARe^3/((1/sageVARe)^2)*2*((8870400*sageVARb^12*sageVARe^14*sag 
eVARB/159667200/sag
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(263\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb*sageVARe/(sageVARe^4*t_nostep^6)) ig 
nored2*(-(23914845*sageVARb^7*sageVARe^18*sageVARa^6*sageVARA-9565938*sage 
VARb^6*sageVARe^18*
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(287\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(523\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(524\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(525\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(526\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(527\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(528\)

Giac [F(-2)]

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

integrate(x/(2*(5-3*3^(1/2))*a-b*x^3)/(b*x^3-a)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(529\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m operator + Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(530\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \sqrt {c+d x^4}}{a+b x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5*(d*x^4+c)^(1/2)/(b*x^4+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/1.1.3_General_binomial/1.1.3.4/55_1.1.3.4_b

Test file number \(55\)

Integral number in file \(224\)

Giac [F(-2)]

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

integrate(x*(d*x^4+c)^(1/2)/(b*x^4+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/1.1.3_General_binomial/1.1.3.4/55_1.1.3.4_b

Test file number \(55\)

Integral number in file \(225\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^9}{\left (a+b x^4\right ) \sqrt {c+d x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^9/(b*x^4+a)/(d*x^4+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/1.1.3_General_binomial/1.1.3.4/55_1.1.3.4_b

Test file number \(55\)

Integral number in file \(240\)

Giac [F(-2)]

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

integrate(x^5/(b*x^4+a)/(d*x^4+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/1.1.3_General_binomial/1.1.3.4/55_1.1.3.4_b

Test file number \(55\)

Integral number in file \(241\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8 \left (c+d x^6\right )}{\left (a+b x^6\right )^{3/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate(x^8*(d*x^6+c)/(b*x^6+a)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb/t_nostep^6) ignored2*(486*sageVARb^4 
*sageVARd*1/5832/sageVARb^5*sageVARx*sageVARx*sageVARx*sageVARx*sageVARx*s 
ageVARx-(972*sageVA
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(7\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{14} \left (c+d x^6\right )}{\left (a+b x^6\right )^{5/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate(x^14*(d*x^6+c)/(b*x^6+a)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb/t_nostep^6) ignored2*((86093442*sage 
VARb^10*sageVARd*sageVARa^5*1/1033121304/sageVARb^11/sageVARa^5*sageVARx*s 
ageVARx*sageVARx*sa
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(32\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8 \left (c+d x^6\right )}{\left (a+b x^6\right )^{5/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate(x^8*(d*x^6+c)/(b*x^6+a)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb/t_nostep^6) ignored2*(-(-9565938*sag 
eVARb^7*sageVARa^4*sageVARc[phone]*sageVARb^6*sageVARd*sageVARa^5)*1/172 
186884/sageVARb^7/s
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(33\)

Giac [F(-2)]

Exception generated. \[ \int \frac {c+d x^6}{x^4 \left (a+b x^6\right )^{5/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((d*x^6+c)/x^4/(b*x^6+a)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb/t_nostep^6) ignored2*(-(47829690*sag 
eVARb^7*sageVARa^6*sageVARc-19131876*sageVARb^6*sageVARa^7*sageVARd)*1/172 
186884/sageVARb^5/s
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(35\)

Giac [F(-2)]

Exception generated. \[ \int \frac {c+d x^6}{x^{10} \left (a+b x^6\right )^{5/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((d*x^6+c)/x^10/(b*x^6+a)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARa>=(-sageVARb/t_nostep^6) ignored2*(-(-76527504*sa 
geVARb^8*sageVARa^7*sageVARc[phone]*sageVARb^7*sageVARa^8*sageVARd)*1/17 
2186884/sageVARb^5/
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(36\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{19}}{\left (a+b x^8\right ) \sqrt {c+d x^8}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^19/(b*x^8+a)/(d*x^8+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/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(96\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11}}{\left (a+b x^8\right ) \sqrt {c+d x^8}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^11/(b*x^8+a)/(d*x^8+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/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(97\)

Giac [F(-2)]

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

integrate(1/x/(a-b*x^(3/2))^(1/2)/(a+b*x^(3/2))^(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/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(224\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,2,1,0,1]%%%}+%%%{2,[0,0,2,2,1,1,1,0,1]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(417\)

Giac [F(-2)]

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

integrate((e*x)^(3/2)*(a+b*x^n)^p*(c+d*x^n),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%%%{-2,[0,0,0,7,2,1,2,2]%%%}+%%%{-4,[0,0,0,7,2,1,1,2]%%%}+%%%{ 
-2,[0,0,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(421\)

Giac [F(-2)]

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

integrate((e*x)^(1/2)*(a+b*x^n)^p*(c+d*x^n),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%%%{-2,[0,0,0,5,2,1,2,2]%%%}+%%%{-4,[0,0,0,5,2,1,1,2]%%%}+%%%{ 
-2,[0,0,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(422\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n)/(e*x)^(1/2),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%%%{-2,[0,0,0,2,1,0,1,2]%%%}+%%%{-2,[0,0,0,2,1,0,0,2]%%%} / %% 
%{4,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(423\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n)/(e*x)^(3/2),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%%%{-2,[0,0,0,2,1,0,1,2]%%%}+%%%{-2,[0,0,0,2,1,0,0,2]%%%} / %% 
%{4,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(424\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n)/(e*x)^(5/2),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%%%{-2,[0,0,0,2,1,0,1,2]%%%}+%%%{-2,[0,0,0,2,1,0,0,2]%%%} / %% 
%{4,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(425\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(a+b*(3+2*p)*x^n),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,[0,0,2,2,1,2,2]%%%}+%%%{2,[0,0,2,2,1,1,2]%%%}+%%%{1,[0,0 
,2,2,1,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(428\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(-a+b*(1+2*p)*x^n)/(x^n),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,[0,0,2,2,1,2,2]%%%}+%%%{2,[0,0,2,2,1,1,2]%%%}+%%%{1,[0,0 
,2,2,1,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(430\)

Giac [F(-2)]

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

integrate((e*x)^m*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,0,1,2,1,0,1]%%%}+%%%{2,[0,0,2,2,0,1,1,1,0,1]%%% 
}+%%%{1,[
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(433\)

Giac [F(-2)]

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

integrate(x^(-1-n*(p+1))*(a+b*x^n)^p*(c+d*x^n),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,[0,0,0,2,0,2,2,1,0]%%%}+%%%{2,[0,0,0,2,0,2,1,1,0]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(434\)

Giac [F(-2)]

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

integrate((e*x)^m*(a+b*x^n)^p*(c+d*x^n)^3,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,[2,0,6,4,0,2,4,4,3,0]%%%}+%%%{4,[2,0,6,4,0,2,3,4,3,0]%%% 
}+%%%{6,[
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(496\)

Giac [F(-2)]

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

integrate((e*x)^m*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,0,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,0,1,2,3,2,0]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(497\)

Giac [F(-2)]

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

integrate((e*x)^m*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,0,1,2,1,0,1]%%%}+%%%{2,[0,0,2,2,0,1,1,1,0,1]%%% 
}+%%%{1,[
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(498\)

Giac [F(-2)]

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

integrate(x^(m+2*n)*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,2,0,1,0,1]%%%}+%%%{4,[0,0,2,2,1,1,0,1,0,1]%%% 
}+%%%{3,[
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(502\)

Giac [F(-2)]

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

integrate(x^(m+n)*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,0,1,2,1,0,1]%%%}+%%%{3,[0,0,2,2,0,1,1,1,0,1]%%% 
}+%%%{2,[
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(503\)

Giac [F(-2)]

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

integrate(x^(m-n)*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,2,0,1,0,1]%%%}+%%%{1,[0,0,2,2,1,1,0,1,0,1]%%% 
}+%%%{1,[
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(505\)

Giac [F(-2)]

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

integrate(x^(m-2*n)*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,2,0,1,0,1]%%%}+%%%{-1,[0,0,2,2,1,0,0,1,0,1]%% 
%}+%%%{2,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(506\)

Giac [F(-2)]

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

integrate(x^(m-3*n)*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,2,0,1,0,1]%%%}+%%%{-1,[0,0,2,2,1,1,0,1,0,1]%% 
%}+%%%{-2
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(507\)

Giac [F(-2)]

Exception generated. \[ \int x^{-1-n (3+p)} \left (a+b x^n\right )^p \left (c+d x^n\right )^4 \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(-1-n*(3+p))*(a+b*x^n)^p*(c+d*x^n)^4,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,[3,0,8,5,3,5,5,4,0]%%%}+%%%{-5,[3,0,8,5,3,5,4,4,0]%%%}+ 
%%%{-10,[
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(512\)

Giac [F(-2)]

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

integrate(x^(-1-n*(3+p))*(a+b*x^n)^p*(c+d*x^n)^3,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,[2,0,6,4,2,4,4,3,0]%%%}+%%%{4,[2,0,6,4,2,4,3,3,0]%%%}+%% 
%{6,[2,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(513\)

Giac [F(-2)]

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

integrate(x^(-1-n*(3+p))*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,1,3,2,2,0]%%%}+ 
%%%{-3,[1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(514\)

Giac [F(-2)]

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

integrate(x^(-1-n*(3+p))*(a+b*x^n)^p*(c+d*x^n),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%%%{-2,[0,0,2,2,1,1,1,0,1]%%%}+%%%{-2,[0,0,2,2,1,1,0,0,1]%%%}+ 
%%%{1,[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(515\)

Giac [F(-2)]

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

integrate(x^(-1-n*(2+p))*(a+b*x^n)^p*(c+d*x^n)^3,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,[2,0,6,4,2,4,4,3,0]%%%}+%%%{4,[2,0,6,4,2,4,3,3,0]%%%}+%% 
%{6,[2,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(519\)

Giac [F(-2)]

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

integrate(x^(-1-n*(2+p))*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,1,3,2,2,0]%%%}+ 
%%%{-3,[1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(520\)

Giac [F(-2)]

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

integrate(x^(-1-n*(2+p))*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,1,1,0,1]%%%}+%%%{-1,[0,0,2,2,1,1,0,0,1]%%%}+ 
%%%{1,[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(521\)

Giac [F(-2)]

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

integrate(x^(-1-n*(p+1))*(a+b*x^n)^p*(c+d*x^n)^3,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,[2,0,2,4,2,4,4,3,0]%%%}+%%%{4,[2,0,2,4,2,4,3,3,0]%%%}+%% 
%{6,[2,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(525\)

Giac [F(-2)]

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

integrate(x^(-1-n*(p+1))*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,1,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,1,3,1,3,2,2,0]%%%}+ 
%%%{-3,[1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(526\)

Giac [F(-2)]

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

integrate(x^(-1-n*(p+1))*(a+b*x^n)^p*(c+d*x^n),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,[0,0,0,2,0,2,2,1,0]%%%}+%%%{2,[0,0,0,2,0,2,1,1,0]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(527\)

Giac [F(-2)]

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

integrate(x^(-n*p-1)*(a+b*x^n)^p*(c+d*x^n)^3,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,[2,0,6,4,2,4,4,3,0]%%%}+%%%{4,[2,0,6,4,2,4,3,3,0]%%%}+%% 
%{6,[2,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(532\)

Giac [F(-2)]

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

integrate(x^(-n*p-1)*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,1,3,2,2,0]%%%}+ 
%%%{-3,[1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(533\)

Giac [F(-2)]

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

integrate(x^(-n*p-1)*(a+b*x^n)^p*(c+d*x^n),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,[0,0,2,2,1,1,1,0,1]%%%}+%%%{1,[0,0,2,2,1,1,0,0,1]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(534\)

Giac [F(-2)]

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

integrate(x^(-1-n*(-1+p))*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,1,3,2,2,0]%%%}+ 
%%%{-3,[1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(539\)

Giac [F(-2)]

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

integrate(x^(-1-n*(-1+p))*(a+b*x^n)^p*(c+d*x^n),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%%%{2,[0,0,2,2,1,1,1,0,1]%%%}+%%%{2,[0,0,2,2,1,1,0,0,1]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(540\)

Giac [F(-2)]

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

integrate(x^(-1-n*(-2+p))*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,1,3,2,2,0]%%%}+ 
%%%{-3,[1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(546\)

Giac [F(-2)]

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

integrate(x^(-1-n*(-2+p))*(a+b*x^n)^p*(c+d*x^n),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%%%{3,[0,0,2,2,1,1,1,0,1]%%%}+%%%{3,[0,0,2,2,1,1,0,0,1]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(547\)

Giac [F(-2)]

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

integrate(x^(-1-n*(-3+p))*(a+b*x^n)^p*(c+d*x^n)^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,[1,0,4,3,1,3,3,2,0]%%%}+%%%{-3,[1,0,4,3,1,3,2,2,0]%%%}+ 
%%%{-3,[1
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(554\)

Giac [F(-2)]

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

integrate(x^(-1-n*(-3+p))*(a+b*x^n)^p*(c+d*x^n),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%%%{4,[0,0,2,2,1,1,1,0,1]%%%}+%%%{4,[0,0,2,2,1,1,0,0,1]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(555\)