Integrals 1301 to 1400

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\left(c{x}^2\right)}^{3/2}(a+bx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{x{\left(c{x}^2\right)}^{3/2}(a+bx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{c{x}^2}}{x^2(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{c{x}^2}}{x^3(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{c{x}^2}}{x^4(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{\left(c{x}^2\right)}^{3/2}}{x^4(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{\left(c{x}^2\right)}^{3/2}}{x^5(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{\left(c{x}^2\right)}^{3/2}}{x^6(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^5}{\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^4}{\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^3}{\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^2}{\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x}{\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{x\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{x^2\sqrt{c{x}^2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^5}{{\left(c{x}^2\right)}^{3/2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^4}{{\left(c{x}^2\right)}^{3/2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^3}{{\left(c{x}^2\right)}^{3/2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^2}{{\left(c{x}^2\right)}^{3/2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x}{{\left(c{x}^2\right)}^{3/2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{{\left(c{x}^2\right)}^{3/2}(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m{\left(c{x}^2\right)}^{5/2}(a+bx)dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m{\left(c{x}^2\right)}^{3/2}(a+bx)dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m\sqrt{c{x}^2}(a+bx)dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(dx{)}^m(a+bx)}{\sqrt{c{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m{\left(c{x}^2\right)}^{5/2}(a+bx{)}^{2}dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m{\left(c{x}^2\right)}^{3/2}(a+bx{)}^{2}dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m\sqrt{c{x}^2}(a+bx{)}^{2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(dx{)}^m(a+bx{)}^2}{\sqrt{c{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^4(a+bx{)}^p}{\sqrt{c{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^3(a+bx{)}^p}{\sqrt{c{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^2(a+bx{)}^p}{\sqrt{c{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x(a+bx{)}^p}{\sqrt{c{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^6(a+bx{)}^p}{{\left(c{x}^2\right)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^5(a+bx{)}^p}{{\left(c{x}^2\right)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^4(a+bx{)}^p}{{\left(c{x}^2\right)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^3(a+bx{)}^p}{{\left(c{x}^2\right)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^8(a+bx{)}^p}{{\left(c{x}^2\right)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^7(a+bx{)}^p}{{\left(c{x}^2\right)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^6(a+bx{)}^p}{{\left(c{x}^2\right)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^5(a+bx{)}^p}{{\left(c{x}^2\right)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^5}{\sqrt{d{x}^2}(a+b{x}^2)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^3}{\sqrt{d{x}^2}(a+b{x}^2)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x}{\sqrt{d{x}^2}(a+b{x}^2)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{x\sqrt{d{x}^2}(a+b{x}^2)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{x^3\sqrt{d{x}^2}(a+b{x}^2)}dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m\sqrt{a+\frac{b}{\sqrt{cx}}}dx=\text{Exception raised: TypeError}$$ 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. $$\int (dx{)}^m\sqrt{a+\frac{b}{\sqrt{c{x}^2}}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \sqrt{a+b\sqrt{\frac{c}{x}}}(dx{)}^{m}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{(c+d{x}^2+e\sqrt{a+b{x}^2})}^{3/2}}{x}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{(c+d{x}^2+e\sqrt{a+b{x}^2})}^{3/2}}{x^3}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{x{(c+d{x}^2+e\sqrt{a+b{x}^2})}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{x^3{(c+d{x}^2+e\sqrt{a+b{x}^2})}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{x^4}{ac+bc{x}^2+d\sqrt{a+b{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^2}{ac+bc{x}^2+d\sqrt{a+b{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{a+\frac{c}{x^2}}}{d+ex}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{a+\frac{c}{x^2}+\frac{b}{x}}}{d+ex}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x^m(c+dx)((-1+x)(-1+kx){)}^p}{(a+bx{)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(1-x)(4-x)}{{(5-\frac{4}{x})}^{3/2}(-2+x)x^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int F^{a+b(c+dx{)}^3}(c+dx{)}^{17}dx=\text{Exception raised: TypeError}$$ 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. $$\int F^{a+b(c+dx{)}^3}(c+dx{)}^{14}dx=\text{Exception raised: TypeError}$$ 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. $$\int F^{c(a+bx)}{x}^2{\log }^n(dx)(e+en+e(3+bcx\log (F))\log (dx))dx=\text{Exception raised: RuntimeError}$$ 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. $$\int F^{c(a+bx)}x{\log }^n(dx)(e+en+e(2+bcx\log (F))\log (dx))dx=\text{Exception raised: RuntimeError}$$ 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. $$\int F^{c(a+bx)}{\log }^n(dx)(e+en+e(1+bcx\log (F))\log (dx))dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{F^{c(a+bx)}{\log }^n(dx)(e+en+bcex\log (F)\log (dx))}{x}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{F^{c(a+bx)}{\log }^n(dx)(e+en+e(-1+bcx\log (F))\log (dx))}{x^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int e^{i\arctan (ax)}{x}^{4}dx=\text{Exception raised: TypeError}$$ 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. $$\int e^{i\arctan (ax)}{x}^{2}dx=\text{Exception raised: TypeError}$$ 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. $$\int e^{3i\arctan (ax)}{x}^{3}dx=\text{Exception raised: TypeError}$$ 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. $$\int e^{-i\arctan (ax)}{x}^{3}dx=\text{Exception raised: TypeError}$$ 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. $$\int e^{-i\arctan (ax)}{x}^{2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{e^{-i\arctan (ax)}}{x^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{e^{-i\arctan (ax)}}{x^4}dx=\text{Exception raised: TypeError}$$ 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. $$\int e^{-3i\arctan (ax)}{x}^{3}dx=\text{Exception raised: TypeError}$$ 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. $$\int e^{\frac{1}{2}i\arctan (ax)}{x}^{2}dx=\text{Exception raised: TypeError}$$ 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. $$\int e^{\frac{1}{2}i\arctan (ax)}xdx=\text{Exception raised: TypeError}$$ 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. $$\int e^{\frac{1}{2}i\arctan (ax)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{e^{\frac{1}{2}i\arctan (ax)}}{x}dx=\text{Exception raised: TypeError}$$ 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 $79$