Integrals 6001 to 6100

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(14\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(15\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(21\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(22\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(23\)

Giac [F(-2)]

Exception generated. \[ \int (f+g x)^3 \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(41\)

Giac [F(-2)]

Exception generated. \[ \int (f+g x)^2 \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(42\)

Giac [F(-2)]

Exception generated. \[ \int (f+g x) \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((g*x+f)*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x, algorithm="gi 
ac")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(43\)

Giac [F(-2)]

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

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/(g*x+f),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/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(44\)

Giac [F(-2)]

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

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/(g*x+f)^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/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(45\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(46\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(47\)

Giac [F(-2)]

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

integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm="gi 
ac")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(48\)

Giac [F(-2)]

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

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/(g*x+f),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/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(49\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(50\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(51\)

Giac [F(-2)]

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

integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm="gi 
ac")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(52\)

Giac [F(-2)]

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

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/(g*x+f),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/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(53\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^2 \log \left (h (f+g x)^m\right )}{\sqrt {1-c^2 x^2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*arccosh(c*x))^2*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algo 
rithm="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%%%{36,[0,2,1,1,1,3,0,0]%%%}+%%%{-24,[0,2,1,1,1,2,1,0]%%%}+%%% 
{-12,[0,2
 

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/335_7.2.5

Test file number \(335\)

Integral number in file \(67\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/336_7.3

Test file number \(336\)

Integral number in file \(352\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \text {arctanh}(a x)}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5*arctanh(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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(364\)

Giac [F(-2)]

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

integrate(x^3*arctanh(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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(366\)

Giac [F(-2)]

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

integrate(x^3*arctanh(a*x)^2/(-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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(373\)

Giac [F(-2)]

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

integrate(x^3*arctanh(a*x)^3/(-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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(380\)

Giac [F(-2)]

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

integrate(x^3*arctanh(a*x)/(-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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(388\)

Giac [F(-2)]

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

integrate(x^3*arctanh(a*x)^2/(-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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(396\)

Giac [F(-2)]

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

integrate(x^3*arctanh(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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(404\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(413\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(415\)

Giac [F(-2)]

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

integrate(x/(-a^2*x^2+1)^(3/2)/arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(418\)

Giac [F(-2)]

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

integrate(1/x/(-a^2*x^2+1)^(3/2)/arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(420\)

Giac [F(-2)]

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

integrate(x/(-a^2*x^2+1)^(3/2)/arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(423\)

Giac [F(-2)]

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

integrate(1/x/(-a^2*x^2+1)^(3/2)/arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(425\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(427\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(429\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(430\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(431\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(432\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(433\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(434\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^5} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(435\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^6} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)/x^6,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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(436\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(437\)

Giac [F(-2)]

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

integrate(x^3*(-a^2*x^2+1)^(1/2)*arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(439\)

Giac [F(-2)]

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

integrate(x*(-a^2*x^2+1)^(1/2)*arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(441\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(442\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(443\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)^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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(444\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)^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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(445\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*x)^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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(446\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(448\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(450\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(451\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(452\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(453\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(454\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(455\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(456\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/x^6,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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(457\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x^7} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/x^7,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(458\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(459\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(460\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(461\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(465\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(466\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(471\)

Giac [F(-2)]

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

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(475\)

Giac [F(-2)]

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

integrate(x^3*(a+b*arctanh(c*x))*(d+e*log(-c^2*x^2+1)),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/7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(522\)

Giac [F(-2)]

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

integrate(x^5*(a+b*arccoth(c*x))*(d+e*log(-c^2*x^2+1)),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/7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/341_7.4

Test file number \(341\)

Integral number in file \(145\)

Giac [F(-2)]

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

integrate(x^3*(a+b*arccoth(c*x))*(d+e*log(-c^2*x^2+1)),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/7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/341_7.4

Test file number \(341\)

Integral number in file \(146\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/341_7.4

Test file number \(341\)

Integral number in file \(168\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11} \left (a+b \text {sech}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^11*(a+b*arcsech(c*x))/(-c^4*x^4+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/7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/347_7.5.1

Test file number \(347\)

Integral number in file \(185\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7 \left (a+b \text {sech}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^7*(a+b*arcsech(c*x))/(-c^4*x^4+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/7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/347_7.5.1

Test file number \(347\)

Integral number in file \(186\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11} \left (a+b \text {csch}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^11*(a+b*arccsch(c*x))/(-c^4*x^4+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/7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/349_7.6.1

Test file number \(349\)

Integral number in file \(175\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7 \left (a+b \text {csch}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^7*(a+b*arccsch(c*x))/(-c^4*x^4+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/7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/349_7.6.1

Test file number \(349\)

Integral number in file \(176\)

Giac [F(-2)]

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

integrate((d*x+c)^m*Psi(n,b*x+a),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(sageVARm))*(Psi(sageVARn 
,((sageVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVA 
Rx+sageVA
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(217\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(3))*(Psi(sageVARn,((sage 
VARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sage 
VARa)  Er
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(218\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(2))*(Psi(sageVARn,((sage 
VARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sage 
VARa)  Er
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(219\)

Giac [F(-2)]

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

integrate((d*x+c)*Psi(n,b*x+a),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=(((sageVARd)*(sageVARx))+(sageVARc))*(Psi(sageVARn,((sageVARb)* 
(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sageVARa) 
 Error: B
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(220\)

Giac [F(-2)]

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

integrate(Psi(n,b*x+a),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=Psi(sageVARn,((sageVARb)*(sageVARx))+(sageVARa)):;OUTPUT:Psi(sa 
geVARn,sageVARb*sageVARx+sageVARa)  Error: Bad Argument Value
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(221\)

Giac [F(-2)]

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

integrate(Psi(n,b*x+a)/(d*x+c),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(-1))*(Psi(sageVARn,((sag 
eVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sag 
eVARa)  E
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(222\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(-2))*(Psi(sageVARn,((sag 
eVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sag 
eVARa)  E
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(223\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(-3))*(Psi(sageVARn,((sag 
eVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sag 
eVARa)  E
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(224\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(3/2))*(Psi(sageVARn,((sa 
geVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sa 
geVARa)
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(225\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(1/2))*(Psi(sageVARn,((sa 
geVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+sa 
geVARa)
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(226\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(-1/2))*(Psi(sageVARn,((s 
ageVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+s 
ageVARa)
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(227\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((((sageVARd)*(sageVARx))+(sageVARc))^(-3/2))*(Psi(sageVARn,((s 
ageVARb)*(sageVARx))+(sageVARa))):;OUTPUT:Psi(sageVARn,sageVARb*sageVARx+s 
ageVARa)
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(228\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((sageVARb)*((sageVARx)^(-1))*(Psi((sageVARn)+(1),((sageVARb)*( 
sageVARx))+(sageVARa)))*(-1))+(((sageVARx)^(-2))*(Psi(sageVARn,((sageVARb) 
*(sageVAR
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(231\)

Giac [F(-2)]

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

integrate(x^2*Zeta(0,s,b*x+a),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((sageVARx)^(2))*(Zeta(0,sageVARs,((sageVARb)*(sageVARx))+(sage 
VARa))):;OUTPUT:Zeta(0,sageVARs,sageVARb*sageVARx+sageVARa)  Error: Bad Ar 
gument Va
 

input file name test_cases/rubi_tests/8_Special_functions/356_8.7

Test file number \(356\)

Integral number in file \(8\)

Giac [F(-2)]

Exception generated. \[ \int x \zeta (s,a+b x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x*Zeta(0,s,b*x+a),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=(sageVARx)*(Zeta(0,sageVARs,((sageVARb)*(sageVARx))+(sageVARa)) 
):;OUTPUT:Zeta(0,sageVARs,sageVARb*sageVARx+sageVARa)  Error: Bad Argument 
 Value
 

input file name test_cases/rubi_tests/8_Special_functions/356_8.7

Test file number \(356\)

Integral number in file \(9\)

Giac [F(-2)]

Exception generated. \[ \int \zeta (s,a+b x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(Zeta(0,s,b*x+a),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=Zeta(0,sageVARs,((sageVARb)*(sageVARx))+(sageVARa)):;OUTPUT:Zet 
a(0,sageVARs,sageVARb*sageVARx+sageVARa)  Error: Bad Argument Value
 

input file name test_cases/rubi_tests/8_Special_functions/356_8.7

Test file number \(356\)

Integral number in file \(10\)

Giac [F(-2)]

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

integrate(Zeta(0,s,b*x+a)/x,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((sageVARx)^(-1))*(Zeta(0,sageVARs,((sageVARb)*(sageVARx))+(sag 
eVARa))):;OUTPUT:Zeta(0,sageVARs,sageVARb*sageVARx+sageVARa)  Error: Bad A 
rgument V
 

input file name test_cases/rubi_tests/8_Special_functions/356_8.7

Test file number \(356\)

Integral number in file \(11\)

Giac [F(-2)]

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

integrate(Zeta(0,s,b*x+a)/x^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((sageVARx)^(-2))*(Zeta(0,sageVARs,((sageVARb)*(sageVARx))+(sag 
eVARa))):;OUTPUT:Zeta(0,sageVARs,sageVARb*sageVARx+sageVARa)  Error: Bad A 
rgument V
 

input file name test_cases/rubi_tests/8_Special_functions/356_8.7

Test file number \(356\)

Integral number in file \(12\)

Giac [F(-2)]

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

integrate(Zeta(0,s,b*x+a)/x^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((sageVARx)^(-3))*(Zeta(0,sageVARs,((sageVARb)*(sageVARx))+(sag 
eVARa))):;OUTPUT:Zeta(0,sageVARs,sageVARb*sageVARx+sageVARa)  Error: Bad A 
rgument V
 

input file name test_cases/rubi_tests/8_Special_functions/356_8.7

Test file number \(356\)

Integral number in file \(13\)

Giac [F(-2)]

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

integrate(Zeta(0,s,b*x+a)/x^2+b*s*Zeta(0,1+s,b*x+a)/x,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage0:=((sageVARb)*(sageVARs)*((sageVARx)^(-1))*(Zeta(0,(sageVARs)+(1) 
,((sageVARb)*(sageVARx))+(sageVARa))))+(((sageVARx)^(-2))*(Zeta(0,sageVARs 
,((sageVA
 

input file name test_cases/rubi_tests/8_Special_functions/356_8.7

Test file number \(356\)

Integral number in file \(14\)

Giac [F(-2)]

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

integrate((x*(x^(3/2))^(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:gen.cc:simplify/tmp.type!=_EXT Erro 
r: Bad Argument Value
 

input file name test_cases/extra_tests/359_MIT

Test file number \(359\)

Integral number in file \(219\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {2 x^2}{10+7 x+x^2+e^{5+x} (10+2 x)}} \left (40 x+14 x^2+e^{5+x} \left (40 x-16 x^2-4 x^3\right )\right )}{100+140 x+69 x^2+14 x^3+x^4+e^{10+2 x} \left (100+40 x+4 x^2\right )+e^{5+x} \left (200+180 x+48 x^2+4 x^3\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((-4*x^3-16*x^2+40*x)*exp(5)*exp(x)+14*x^2+40*x)*exp(2*x^2/((2*x 
+10)*exp(5)*exp(x)+x^2+7*x+10))/((4*x^2+40*x+100)*exp(5)^2*exp(x)^2+(4*x^3 
+48*x^2+180*x+200)*exp(5)*exp(x)+x^4+14*x^3+69*x^2+140*x+100),x, algorithm 
="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{4,[1,16]%%%}+%%%{-176,[1,15]%%%}+%%%{3392,[1,14]%%%}+%%%{- 
37408,[1,
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number \(361\)

Integral number in file \(7\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-20 e^{2+\frac {5}{-2+e^2 x^4}} x^4+\left (-4+4 e^2 x^4-e^4 x^8+e^{\frac {5}{-2+e^2 x^4}} \left (4-4 e^2 x^4+e^4 x^8\right )\right ) \log \left (-1+e^{\frac {5}{-2+e^2 x^4}}\right )}{-4+4 e^2 x^4-e^4 x^8+e^{\frac {5}{-2+e^2 x^4}} \left (4-4 e^2 x^4+e^4 x^8\right )} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((((x^8*exp(2)^2-4*x^4*exp(2)+4)*exp(5/(x^4*exp(2)-2))-x^8*exp(2) 
^2+4*x^4*exp(2)-4)*log(exp(5/(x^4*exp(2)-2))-1)-20*x^4*exp(2)*exp(5/(x^4*e 
xp(2)-2)))/((x^8*exp(2)^2-4*x^4*exp(2)+4)*exp(5/(x^4*exp(2)-2))-x^8*exp(2) 
^2+4*x^4*exp(2)-4),x, algorithm="giac")
 

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number \(361\)

Integral number in file \(23\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x^3}{8 e^3 x^2+e^5 x^3+e^x \left (8 e^3+e^5 x\right )}} \left (128 e^6 x^4+16 e^3 x^5+32 e^8 x^5+2 e^{10} x^6+e^{2 x} \left (128 e^6+32 e^8 x+2 e^{10} x^2\right )+e^x \left (256 e^6 x^2+4 e^{10} x^4+e^3 \left (48 x^3-16 x^4\right )+e^5 \left (64 e^3 x^3+4 x^4-2 x^5\right )\right )\right )}{64 e^6 x^4+16 e^8 x^5+e^{10} x^6+e^{2 x} \left (64 e^6+16 e^8 x+e^{10} x^2\right )+e^x \left (128 e^6 x^2+32 e^8 x^3+2 e^{10} x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((2*x^2*exp(5)^2+32*x*exp(3)*exp(5)+128*exp(3)^2)*exp(x)^2+(4*x^ 
4*exp(5)^2+(64*x^3*exp(3)-2*x^5+4*x^4)*exp(5)+256*x^2*exp(3)^2+(-16*x^4+48 
*x^3)*exp(3))*exp(x)+2*x^6*exp(5)^2+32*x^5*exp(3)*exp(5)+128*x^4*exp(3)^2+ 
16*x^5*exp(3))*exp(x^3/((x*exp(5)+8*exp(3))*exp(x)+x^3*exp(5)+8*x^2*exp(3) 
))/((x^2*exp(5)^2+16*x*exp(3)*exp(5)+64*exp(3)^2)*exp(x)^2+(2*x^4*exp(5)^2 
+32*x^3*exp(3)*exp(5)+128*x^2*exp(3)^2)*exp(x)+x^6*exp(5)^2+16*x^5*exp(3)* 
exp(5)+64*x^4*exp(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%%%{64,[0,8,42,46]%%%}+%%%{-768,[0,8,41,46]%%%}+%%%{7168,[0,8, 
41,44]%%%
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number \(361\)

Integral number in file \(74\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{3-e^{e^{-\frac {4}{\log (x)}} \left (x+e^{\frac {4}{\log (x)}} \left (65536+512 x+x^2\right )\right )}+e^{-\frac {4}{\log (x)}} \left (x+e^{\frac {4}{\log (x)}} \left (65536+512 x+x^2\right )\right )-\frac {4}{\log (x)}} \left (-4-\log ^2(x)+e^{\frac {4}{\log (x)}} (-512-2 x) \log ^2(x)\right )}{\log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((-2*x-512)*log(x)^2*exp(4/log(x))-log(x)^2-4)*exp(((x^2+512*x+6 
5536)*exp(4/log(x))+x)/exp(4/log(x)))*exp(-exp(((x^2+512*x+65536)*exp(4/lo 
g(x))+x)/exp(4/log(x)))+3)/log(x)^2/exp(4/log(x)),x, algorithm="giac")
 

Output:

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

input file name test_cases/extra_tests/361_Hebisch_1

Test file number \(361\)

Integral number in file \(176\)