Integrals 1301 to 1400

Giac [F(-2)]

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

integrate(1/(c*x^2)^(3/2)/(b*x+a),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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(373\)

Giac [F(-2)]

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

integrate(1/x/(c*x^2)^(3/2)/(b*x+a),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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(374\)

Giac [F(-2)]

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

integrate((c*x^2)^(1/2)/x^2/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(380\)

Giac [F(-2)]

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

integrate((c*x^2)^(1/2)/x^3/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(381\)

Giac [F(-2)]

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

integrate((c*x^2)^(1/2)/x^4/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(382\)

Giac [F(-2)]

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

integrate((c*x^2)^(3/2)/x^4/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(388\)

Giac [F(-2)]

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

integrate((c*x^2)^(3/2)/x^5/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(389\)

Giac [F(-2)]

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

integrate((c*x^2)^(3/2)/x^6/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(390\)

Giac [F(-2)]

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

integrate(x^5/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(391\)

Giac [F(-2)]

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

integrate(x^4/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(392\)

Giac [F(-2)]

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

integrate(x^3/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(393\)

Giac [F(-2)]

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

integrate(x^2/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(394\)

Giac [F(-2)]

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

integrate(x/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(395\)

Giac [F(-2)]

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

integrate(1/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(396\)

Giac [F(-2)]

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

integrate(1/x/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(397\)

Giac [F(-2)]

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

integrate(1/x^2/(c*x^2)^(1/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(398\)

Giac [F(-2)]

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

integrate(x^5/(c*x^2)^(3/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(399\)

Giac [F(-2)]

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

integrate(x^4/(c*x^2)^(3/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(400\)

Giac [F(-2)]

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

integrate(x^3/(c*x^2)^(3/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(401\)

Giac [F(-2)]

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

integrate(x^2/(c*x^2)^(3/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(402\)

Giac [F(-2)]

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

integrate(x/(c*x^2)^(3/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(403\)

Giac [F(-2)]

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

integrate(1/(c*x^2)^(3/2)/(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(404\)

Giac [F(-2)]

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

integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a),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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(405\)

Giac [F(-2)]

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

integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a),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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(406\)

Giac [F(-2)]

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

integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a),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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(407\)

Giac [F(-2)]

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

integrate((d*x)^m*(b*x+a)/(c*x^2)^(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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(408\)

Giac [F(-2)]

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

integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(411\)

Giac [F(-2)]

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

integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(412\)

Giac [F(-2)]

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

integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(413\)

Giac [F(-2)]

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

integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(414\)

Giac [F(-2)]

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

integrate(x^4*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,3,1,0,0]%%%} / %%%{1,[0,0,0,1,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(440\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(441\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(442\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(443\)

Giac [F(-2)]

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

integrate(x^6*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,3,1,0,0]%%%} / %%%{1,[0,0,0,1,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(447\)

Giac [F(-2)]

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

integrate(x^5*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,2,1,0,0]%%%} / %%%{1,[0,0,0,1,1]%%%} Error: Bad Argum 
ent Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(448\)

Giac [F(-2)]

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

integrate(x^4*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,1,1,0,0]%%%} / %%%{1,[0,0,0,1,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(449\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(450\)

Giac [F(-2)]

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

integrate(x^8*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,3,1,0,0]%%%} / %%%{1,[0,0,0,1,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(455\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7 (a+b x)^p}{\left (c x^2\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^7*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,2,1,0,0]%%%} / %%%{1,[0,0,0,1,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(456\)

Giac [F(-2)]

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

integrate(x^6*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,1,1,0,0]%%%} / %%%{1,[0,0,0,1,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(457\)

Giac [F(-2)]

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

integrate(x^5*(b*x+a)^p/(c*x^2)^(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%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,1,1]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(458\)

Giac [F(-2)]

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

integrate(x^5/(d*x^2)^(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: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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(482\)

Giac [F(-2)]

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

integrate(x^3/(d*x^2)^(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: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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(483\)

Giac [F(-2)]

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

integrate(x/(d*x^2)^(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: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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(484\)

Giac [F(-2)]

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

integrate(1/x/(d*x^2)^(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: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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(485\)

Giac [F(-2)]

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

integrate(1/x^3/(d*x^2)^(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: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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(486\)

Giac [F(-2)]

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

integrate((a/x^17)^(1/2)/(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/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(509\)

Giac [F(-2)]

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

integrate((d*x)^m*(a+b/(c*x)^(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:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,1,0]%%%} / %%%{1,[0,0,0,1]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(15\)

Giac [F(-2)]

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

integrate(x^5*(a+b*(c*x^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: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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(24\)

Giac [F(-2)]

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

integrate(x^3*(a+b*(c*x^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: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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(25\)

Giac [F(-2)]

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

integrate((a+b*(c*x^2)^(1/2))^(1/2)/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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(28\)

Giac [F(-2)]

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

integrate((a+b*(c*x^2)^(1/2))^(1/2)/x^5,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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(29\)

Giac [F(-2)]

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

integrate(x^4*(a+b*(c*x^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: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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(30\)

Giac [F(-2)]

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

integrate(x^2*(a+b*(c*x^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: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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(31\)

Giac [F(-2)]

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

integrate(x^8*(a+b*(c*x^2)^(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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(36\)

Giac [F(-2)]

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

integrate(x^5*(a+b*(c*x^2)^(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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(37\)

Giac [F(-2)]

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

integrate((d*x)^m*(a+b/(c*x^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: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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(51\)

Giac [F(-2)]

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

integrate((a+b*(c/x)^(1/2))^(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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(82\)

Giac [F(-2)]

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

integrate(1/(a+b*(c/x)^(1/2))^(1/2)/x^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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(89\)

Giac [F(-2)]

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

integrate(1/(a+b*(c/x)^(1/2))^(1/2)/x^3,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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(90\)

Giac [F(-2)]

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

integrate(1/(a+b*(c/x)^(1/2))^(1/2)/x^4,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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(91\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(94\)

Giac [F(-2)]

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

integrate((a+b*(d/x)^(1/2)+c/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/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(153\)

Giac [F(-2)]

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

integrate((c+d*x^2+e*(b*x^2+a)^(1/2))^(1/2)/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/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(4\)

Giac [F(-2)]

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

integrate((c+d*x^2+e*(b*x^2+a)^(1/2))^(1/2)/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/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(5\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+d x^2+e \sqrt {a+b x^2}}}{x^5} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(6\)

Giac [F(-2)]

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

integrate((c+d*x^2+e*(b*x^2+a)^(1/2))^(3/2)/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/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(10\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(11\)

Giac [F(-2)]

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

integrate(1/x^3/(c+d*x^2+e*(b*x^2+a)^(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: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/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(17\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(21\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/152_1.6.5

Test file number \(152\)

Integral number in file \(22\)

Giac [F(-2)]

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

integrate(x^4/(a*c+b*c*x^2+d*(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/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(53\)

Giac [F(-2)]

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

integrate(x^2/(a*c+b*c*x^2+d*(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/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(54\)

Giac [F(-2)]

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

integrate((a+c/x^2)^(1/2)/(e*x+d),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/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(284\)

Giac [F(-2)]

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

integrate((a+c/x^2+b/x)^(1/2)/(e*x+d),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/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(285\)

Giac [F(-2)]

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

integrate(x^m*(d*x+c)*((x-1)*(k*x-1))^p/(b*x+a)^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/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(380\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(1-x) (4-x)}{\left (5-\frac {4}{x}\right )^{3/2} (-2+x) x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1-x)*(4-x)/(5-4/x)^(3/2)/(-2+x)/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%%%{480,[2,1]%%%}+%%%{%%{[768,0]:[1,0,-5]%%},[1,1]%%%}+%%%{153 
6,[0,1]%%
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(396\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: -2*a 
tan(i)*sign(sageVARx+1)+2*sign(sageVARx+1)*atan(sqrt(sageVARx))
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(397\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: (2*a 
tan(i)-2*i)*sign(sageVARx+1)+2*(sqrt(sageVARx)-atan(sqrt(sageVARx)))*sign( 
sageVARx+1)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(398\)

Giac [F(-2)]

Exception generated. \[ \int f^{a+b x^3} x^{17} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(f^(b*x^3+a)*x^17,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(32\)

Giac [F(-2)]

Exception generated. \[ \int F^{a+b (c+d x)^3} (c+d x)^{17} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^17,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(215\)

Giac [F(-2)]

Exception generated. \[ \int F^{a+b (c+d x)^3} (c+d x)^{14} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^14,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(216\)

Giac [F(-2)]

Exception generated. \[ \int F^{c (a+b x)} x^2 \log ^n(d x) (e+e n+e (3+b c x \log (F)) \log (d x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(F^((b*x+a)*c)*x^2*log(d*x)^n*(e+e*n+e*(3+b*c*x*log(F))*log(d*x)) 
,x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %% 
%{1,[0,3,0,0
 

input file name test_cases/rubi_tests/2_Exponentials/156_2.1

Test file number \(156\)

Integral number in file \(123\)

Giac [F(-2)]

Exception generated. \[ \int F^{c (a+b x)} x \log ^n(d x) (e+e n+e (2+b c x \log (F)) \log (d x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(F^((b*x+a)*c)*x*log(d*x)^n*(e+e*n+e*(2+b*c*x*log(F))*log(d*x)),x 
, algorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %% 
%{1,[0,3,0,0
 

input file name test_cases/rubi_tests/2_Exponentials/156_2.1

Test file number \(156\)

Integral number in file \(124\)

Giac [F(-2)]

Exception generated. \[ \int F^{c (a+b x)} \log ^n(d x) (e+e n+e (1+b c x \log (F)) \log (d x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(F^((b*x+a)*c)*log(d*x)^n*(e+e*n+e*(1+b*c*x*log(F))*log(d*x)),x, 
algorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %% 
%{1,[0,3,0,0
 

input file name test_cases/rubi_tests/2_Exponentials/156_2.1

Test file number \(156\)

Integral number in file \(125\)

Giac [F(-2)]

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

integrate(F^((b*x+a)*c)*log(d*x)^n*(e+e*n+b*c*e*x*log(F)*log(d*x))/x,x, al 
gorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %% 
%{1,[0,3,0,0
 

input file name test_cases/rubi_tests/2_Exponentials/156_2.1

Test file number \(156\)

Integral number in file \(126\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %% 
%{1,[0,3,0,0
 

input file name test_cases/rubi_tests/2_Exponentials/156_2.1

Test file number \(156\)

Integral number in file \(127\)

Giac [F(-2)]

Exception generated. \[ \int e^{i \arctan (a x)} x^4 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)*x^4,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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(16\)

Giac [F(-2)]

Exception generated. \[ \int e^{i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)*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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(18\)

Giac [F(-2)]

Exception generated. \[ \int e^{3 i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+I*a*x)^3/(a^2*x^2+1)^(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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(34\)

Giac [F(-2)]

Exception generated. \[ \int e^{-i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3/(1+I*a*x)*(a^2*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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(50\)

Giac [F(-2)]

Exception generated. \[ \int e^{-i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^2/(1+I*a*x)*(a^2*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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(51\)

Giac [F(-2)]

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

integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(55\)

Giac [F(-2)]

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

integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/x^4,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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(57\)

Giac [F(-2)]

Exception generated. \[ \int e^{-3 i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3/(1+I*a*x)^3*(a^2*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/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(67\)

Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{2} i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)*x^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.The choice 
 was done
 

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(76\)

Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{2} i \arctan (a x)} x \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)*x,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.The choice 
 was done
 

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(77\)

Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{2} i \arctan (a x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((1+I*a*x)/(a^2*x^2+1)^(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.The choice 
 was done
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(78\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} i \arctan (a x)}}{x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/x,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.The choice 
 was done
 

input file name test_cases/rubi_tests/2_Exponentials/2.4/159_2.4.3

Test file number \(159\)

Integral number in file \(79\)