Integrals 1901 to 2000

Giac [F(-2)]

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

integrate((c-c/a^2/x^2)^(1/2)*(a*x-1)/(a*x+1),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/2_Exponentials/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(889\)

Giac [F(-2)]

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

integrate(1/((a*x-1)/(a*x+1))^(1/2)*(c-c/a^2/x^2)^(1/2)*(e*x)^m,x, algorit 
hm="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/2_Exponentials/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(905\)

Giac [F(-2)]

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

integrate(1/((a*x-1)/(a*x+1))^(1/2)*(e*x)^m/(c-c/a^2/x^2)^(3/2),x, algorit 
hm="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/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(907\)

Giac [F(-2)]

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

integrate((c-c/a^2/x^2)^(1/2)*(e*x)^m*((a*x-1)/(a*x+1))^(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/2_Exponentials/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(909\)

Giac [F(-2)]

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

integrate((e*x)^m*((a*x-1)/(a*x+1))^(1/2)/(c-c/a^2/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: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/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(911\)

Giac [F(-2)]

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

integrate(exp(n*arccoth(a*x))/(c-c/a^2/x^2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(913\)

Giac [F(-2)]

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

integrate(exp(n*arccoth(a*x))/(c-c/a^2/x^2)^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]%%%} / %%%{1,[0,0,2]%%%} Error: Bad Argument Valu 
e
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(914\)

Giac [F(-2)]

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

integrate(exp(n*arccoth(a*x))*(c-c/a^2/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: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/2.5/164_2.5.4

Test file number \(164\)

Integral number in file \(915\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {sech}^{-1}(a x)} x^8 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1/a/x+(-1+1/a/x)^(1/2)*(1+1/a/x)^(1/2))*x^8,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,[0,7,2,2,0,0]%%%}+%%%{1,[0,6,0,1,1,1]%%%} / %%%{1,[0,0,2 
,3,0,0]%%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(1\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {sech}^{-1}(a x)} x^6 \, dx=\text {Exception raised: TypeError} \] Input:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(2\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {sech}^{-1}(a x)} x^4 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1/a/x+(-1+1/a/x)^(1/2)*(1+1/a/x)^(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:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,3,2,2,0,0]%%%}+%%%{1,[0,2,0,1,1,1]%%%} / %%%{1,[0,0,2 
,3,0,0]%%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(3\)

Giac [F(-2)]

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

integrate((1/a/x+(-1+1/a/x)^(1/2)*(1+1/a/x)^(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:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,2,2,0,0]%%%}+%%%{1,[0,0,0,1,1,1]%%%} / %%%{1,[0,0,2 
,3,0,0]%%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(4\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {sech}^{-1}(a x)} x^5 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1/a/x+(-1+1/a/x)^(1/2)*(1+1/a/x)^(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:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,4,2,2,0,0]%%%}+%%%{1,[0,3,0,1,1,1]%%%} / %%%{1,[0,0,2 
,3,0,0]%%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(10\)

Giac [F(-2)]

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

integrate((1/a/x+(-1+1/a/x)^(1/2)*(1+1/a/x)^(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:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,2,2,2,0,0]%%%}+%%%{1,[0,1,0,1,1,1]%%%} / %%%{1,[0,0,2 
,3,0,0]%%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(11\)

Giac [F(-2)]

Exception generated. \[ \int e^{2 \text {sech}^{-1}(a x)} x^4 \, dx=\text {Exception raised: TypeError} \] Input:

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

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,[0,4,0,6,0,0]%%%}+%%%{1,[0,2,4,4,0,0]%%%}+%%%{1,[0,2,0, 
4,0,0]%%%
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(17\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-%%%{2,[2,2]%%%}/%%%{-8,[3,3]%%%}+%%%{8,[2,2]%%%}*%%%{8,[3 
,3]%%%}+%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(44\)

Giac [F(-2)]

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

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

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/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(48\)

Giac [F(-2)]

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

integrate((1/a/x^2+(-1+1/a/x^2)^(1/2)*(1+1/a/x^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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(50\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {sech}^{-1}\left (a x^2\right )} x^6 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1/a/x^2+(-1+1/a/x^2)^(1/2)*(1+1/a/x^2)^(1/2))*x^6,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,[0,4,2,1,1,1]%%%}+%%%{1,[0,4,0,0,0,2]%%%} / %%%{1,[0,0,0 
,0,0,3]%%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(55\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {sech}^{-1}\left (a x^2\right )} x^4 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1/a/x^2+(-1+1/a/x^2)^(1/2)*(1+1/a/x^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:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,2,2,1,1,1]%%%}+%%%{1,[0,2,0,0,0,2]%%%} / %%%{1,[0,0,0 
,0,0,3]%%
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(56\)

Giac [F(-2)]

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

integrate((1/a/x^2+(-1+1/a/x^2)^(1/2)*(1+1/a/x^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:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,2,1,1,1]%%%}+%%%{1,[0,0,0,0,2]%%%} / %%%{1,[0,0,0,0,3 
]%%%} Err
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(57\)

Giac [F(-2)]

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

integrate((1/a/x^2+(-1+1/a/x^2)^(1/2)*(1+1/a/x^2)^(1/2))*x^m,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/2.5/165_2.5.5

Test file number \(165\)

Integral number in file \(61\)

Giac [F(-2)]

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

integrate((1/a/x+(1+1/a^2/x^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/2_Exponentials/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(6\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(15\)

Giac [F(-2)]

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

integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x^m,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/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(21\)

Giac [F(-2)]

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

integrate((1/a/x+(1+1/a^2/x^2)^(1/2))*x^m,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/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(22\)

Giac [F(-2)]

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

integrate(x^m/(1/a/x+(1+1/a^2/x^2)^(1/2))^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/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(24\)

Giac [F(-2)]

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

integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x^m,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/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(35\)

Giac [F(-2)]

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

integrate((1/a/x+(1+1/a^2/x^2)^(1/2))*x^m,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/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(36\)

Giac [F(-2)]

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

integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*(d*x)^m/(c^2*x^2+1),x, algorithm="gi 
ac")
 

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/2.5/166_2.5.6

Test file number \(166\)

Integral number in file \(37\)

Giac [F(-2)]

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

integrate((a*x+1)/(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(1\)

Giac [F(-2)]

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

integrate((a*x+1)/(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(3\)

Giac [F(-2)]

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

integrate(x^3/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(34\)

Giac [F(-2)]

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

integrate(x^2/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(35\)

Giac [F(-2)]

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

integrate(1/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(39\)

Giac [F(-2)]

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

integrate(1/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(41\)

Giac [F(-2)]

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

integrate(x^3/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(51\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(70\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(74\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} \text {arctanh}(a x)}}{x^4} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(76\)

Giac [F(-2)]

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

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(5/2)*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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(78\)

Giac [F(-2)]

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

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(5/2)*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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(79\)

Giac [F(-2)]

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

integrate(x^2/((a*x+1)/(-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: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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(88\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(96\)

Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {5}{2} \text {arctanh}(a x)} x^3 \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(105\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c*x)^m,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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(136\)

Giac [F(-2)]

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

integrate((c*x)^m/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(139\)

Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} \text {arctanh}(a x)} (c x)^m \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(144\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(-a*c*x+c)^(7/2),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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(220\)

Giac [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(a x)} (c-a c x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(222\)

Giac [F(-2)]

Exception generated. \[ \int e^{3 \text {arctanh}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(7/2),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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(237\)

Giac [F(-2)]

Exception generated. \[ \int e^{3 \text {arctanh}(a x)} (c-a c x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(239\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(240\)

Giac [F(-2)]

Exception generated. \[ \int e^{-\text {arctanh}(a x)} (c-a c x)^{9/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a*c*x+c)^(9/2)/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(245\)

Giac [F(-2)]

Exception generated. \[ \int e^{-\text {arctanh}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a*c*x+c)^(7/2)/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(246\)

Giac [F(-2)]

Exception generated. \[ \int e^{-\text {arctanh}(a x)} (c-a c x)^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a*c*x+c)^(5/2)/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(247\)

Giac [F(-2)]

Exception generated. \[ \int e^{-\text {arctanh}(a x)} (c-a c x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a*c*x+c)^(3/2)/(a*x+1)*(-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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(248\)

Giac [F(-2)]

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

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(250\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\text {arctanh}(a x)}}{(c-a c x)^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(252\)

Giac [F(-2)]

Exception generated. \[ \int e^{-3 \text {arctanh}(a x)} (c-a c x)^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a*c*x+c)^(5/2)/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(263\)

Giac [F(-2)]

Exception generated. \[ \int e^{-3 \text {arctanh}(a x)} (c-a c x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a*c*x+c)^(3/2)/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(264\)

Giac [F(-2)]

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

integrate((-a*c*x+c)^(1/2)/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(265\)

Giac [F(-2)]

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

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(-a*c*x+c)^(5/2),x, algorithm="gi 
ac")
                                                                                    
                                                                                    
 

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(268\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-3 \text {arctanh}(a x)}}{(c-a c x)^{9/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(-a*c*x+c)^(9/2),x, algorithm="gi 
ac")
 

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(270\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(a*c*x+c)^p,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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(283\)

Giac [F(-2)]

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

integrate((a*c*x+c)^p/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(286\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^p,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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(292\)

Giac [F(-2)]

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

integrate((-a*c*x+c)^p/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(295\)

Giac [F(-2)]

Exception generated. \[ \int e^{-5 \text {arctanh}(a x)} (c-a c x)^p \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(296\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c),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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(348\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c),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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(350\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(357\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(359\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/ab 
s(sageVARa)/sageVARc^2/sageVARa/sageVARc*(-(-6*sageVARc*atan(i)-(-7*i)*sag 
eVARc)/3*sign((sageVARa*sageVARc*sageVARx-sageVARc)^-1)*sign(sageVARa)*sig 
n(sageVARc)-2*sageV
 

input file name test_cases/rubi_tests/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(360\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(a x)} x^4}{(c-a c x)^3} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(366\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(368\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(376\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(378\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2*(-a*c*x+c)^(1/2),x, algorithm="gi 
ac")
 

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(392\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^3*(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(406\)

Giac [F(-2)]

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

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

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(408\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(409\)

Giac [F(-2)]

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

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

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(410\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(411\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(412\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{3 \text {arctanh}(a x)} \sqrt {c-a c x}}{x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(413\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{3 \text {arctanh}(a x)} \sqrt {c-a c x}}{x^5} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(414\)

Giac [F(-2)]

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

integrate(x^2*(-a*c*x+c)^(1/2)/(a*x+1)*(-a^2*x^2+1)^(1/2),x, algorithm="gi 
ac")
 

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(431\)

Giac [F(-2)]

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

integrate(x^3*(-a*c*x+c)^(1/2)/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(447\)

Giac [F(-2)]

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

integrate(x^2*(-a*c*x+c)^(1/2)/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(448\)

Giac [F(-2)]

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

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

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(449\)

Giac [F(-2)]

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

integrate((-a*c*x+c)^(1/2)/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(450\)

Giac [F(-2)]

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

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

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(451\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(452\)

Giac [F(-2)]

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

integrate((-a*c*x+c)^(1/2)/(a*x+1)^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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(453\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-3 \text {arctanh}(a x)} \sqrt {c-a c x}}{x^4} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(454\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-3 \text {arctanh}(a x)} \sqrt {c-a c x}}{x^5} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a*c*x+c)^(1/2)/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/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/2_Exponentials/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(455\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(e*x)^m*(a*c*x+c)^(1/2),x, algorith 
m="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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(456\)

Giac [F(-2)]

Exception generated. \[ \int e^{-3 \text {arctanh}(a x)} (e x)^m \sqrt {c+a c x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x)^m*(a*c*x+c)^(1/2)/(a*x+1)^3*(-a^2*x^2+1)^(3/2),x, algorith 
m="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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(459\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(e*x)^m*(-a*c*x+c)^(1/2),x, algorit 
hm="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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(464\)