Integrals 2101 to 2200

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+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 \(910\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^5/(-a^2*c*x^2+c)^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 \(919\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+c)^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 \(921\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^7/(-a^2*c*x^2+c)^3,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 \(929\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^5/(-a^2*c*x^2+c)^3,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 \(931\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+c)^3,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 \(933\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^5/(-a^2*c*x^2+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 \(999\)

Giac [F(-2)]

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

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+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 \(1001\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)*x^3*(-a^2*c*x^2+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 \(1099\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)*x^3/(-a^2*c*x^2+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:index.cc index_m i_lex_is_greater E 
rror: 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 \(1130\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)*x^2/(-a^2*c*x^2+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 \(1131\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

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

Test file number \(167\)

Integral number in file \(1132\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

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

Test file number \(167\)

Integral number in file \(1133\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)*x^3/(-a^2*c*x^2+c)^(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 \(1138\)

Giac [F(-2)]

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

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

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/2.5/167_x2.5.3

Test file number \(167\)

Integral number in file \(1139\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)/x/(-a^2*c*x^2+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 \(1142\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)*x^m*(-a^2*c*x^2+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 \(1153\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)*x^m*(-a^2*c*x^2+c)^(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 \(1154\)

Giac [F(-2)]

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

integrate((a*x+1)^2/(-a^2*x^2+1)*x^m*(-a^2*c*x^2+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 \(1155\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^2/(-a^2*c*x^2+c),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 \(1172\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^m*(-a^2*c*x^2+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 \(1195\)

Giac [F(-2)]

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

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^m*(-a^2*c*x^2+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 \(1196\)

Giac [F(-2)]

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

integrate(x^3*(-a^2*c*x^2+c)^p/(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 \(1244\)

Giac [F(-2)]

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

integrate((-a^2*c*x^2+c)^p/(a*x+1)*(-a^2*x^2+1)^(1/2)/x^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 \(1249\)

Giac [F(-2)]

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

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

Test file number \(167\)

Integral number in file \(1258\)

Giac [F(-2)]

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

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

Test file number \(167\)

Integral number in file \(1274\)

Giac [F(-2)]

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

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

Test file number \(167\)

Integral number in file \(1301\)

Giac [F(-2)]

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

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)*x^3/(-a^2*c*x^2+c)^(5/4),x, a 
lgorithm="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 \(1319\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} \text {arctanh}(a x)} x^3}{\left (c-a^2 c x^2\right )^{9/8}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)*x^3/(-a^2*c*x^2+c)^(9/8),x, a 
lgorithm="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 \(1325\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*x^4/(-a^2*c*x^2+c),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]%%%}+%%%{1,[0,1,0,0,0]%%%} / %%%{1,[0,0,4,0,1 
]%%%} Err
 

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

Test file number \(167\)

Integral number in file \(1334\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,1,0,0]%%%} / %%%{1,[0,0,0,2,1]%%%} Error: Bad Argum 
ent Value
 

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

Test file number \(167\)

Integral number in file \(1335\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,2,1]%%%} 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 \(1336\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*x^4/(-a^2*c*x^2+c)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,4,2]%%%} 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 \(1341\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*x^3*(-a^2*c*x^2+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 \(1350\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*x*(-a^2*c*x^2+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 \(1352\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*(-a^2*c*x^2+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 \(1353\)

Giac [F(-2)]

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

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

Test file number \(167\)

Integral number in file \(1354\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*(-a^2*c*x^2+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 \(1355\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*(-a^2*c*x^2+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 \(1356\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*x^3/(-a^2*c*x^2+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 \(1357\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*x^3/(-a^2*c*x^2+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 \(1364\)

Giac [F(-2)]

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

integrate(exp(n*arctanh(a*x))*x^3/(-a^2*c*x^2+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 \(1371\)

Giac [F(-2)]

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

integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm="giac" 
)
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,0,2,5,2,0,5,0,2,1,2,2]%%%}+%%%{-2,[0,0,2,4,2,1,5,0,1,1,2,2]%%%}+%%%{5,[0, 
0,2,4,2,0,4,
 

input file name test_cases/rubi_tests/3_Logarithms/168_3_Logarithm_functions

Test file number \(168\)

Integral number in file \(1\)

Giac [F(-2)]

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

integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^p/x,x, 
algorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,0,2,5,2,0,5,0,3,1,2,3]%%%}+%%%{-2,[0,0,2,4,2,1,5,0,2,1,2,3]%%%}+%%%{5,[0, 
0,2,4,2,0,4,
 

input file name test_cases/rubi_tests/3_Logarithms/168_3_Logarithm_functions

Test file number \(168\)

Integral number in file \(16\)

Giac [F(-2)]

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

integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^p/x,x, algori 
thm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,0,2,5,2,0,5,0,2,1,2,2,1]%%%}+%%%{-2,[0,0,2,4,2,1,5,0,1,1,2,2,1]%%%}+%%%{5 
,[0,0,2,4,2,
 

input file name test_cases/rubi_tests/3_Logarithms/168_3_Logarithm_functions

Test file number \(168\)

Integral number in file \(30\)

Giac [F(-2)]

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

integrate(log(2*x*(d^(1/2)*(-e)^(1/2)+e*x)/(e*x^2+d))/(e*x^2+d),x, algorit 
hm="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/3_Logarithms/168_3_Logarithm_functions

Test file number \(168\)

Integral number in file \(44\)

Giac [F(-2)]

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

integrate(log(-2*x*(d^(1/2)*(-e)^(1/2)-e*x)/(e*x^2+d))/(e*x^2+d),x, algori 
thm="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/3_Logarithms/168_3_Logarithm_functions

Test file number \(168\)

Integral number in file \(45\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 2*(2 
*sqrt(2)*atan(4*sqrt(sageVARx)/sqrt(2))-2*(-2*(1/2*pi*sign(-sqrt(sageVARx) 
+sqrt(sageVARx-1))+atan(1/2*((-sqrt(sageVARx)+sqrt(sageVARx-1))^2-1)/(-sqr 
t(sageVARx)+sqrt(sa
 

input file name test_cases/rubi_tests/3_Logarithms/168_3_Logarithm_functions

Test file number \(168\)

Integral number in file \(111\)

Giac [F(-2)]

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

integrate(cos(b*x+a)*log(cos(1/2*a+1/2*b*x)*sin(1/2*a+1/2*b*x)),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/3_Logarithms/168_3_Logarithm_functions

Test file number \(168\)

Integral number in file \(185\)

Giac [F(-2)]

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

integrate(x^3*(a+b*log(c*x^n))*log(d*(1/d+f*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/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(30\)

Giac [F(-2)]

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

integrate(x^3*(a+b*log(c*x^n))^2*log(d*(1/d+f*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/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(38\)

Giac [F(-2)]

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

integrate(x^3*(a+b*log(c*x^n))^3*log(d*(1/d+f*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/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(46\)

Giac [F(-2)]

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

integrate((g*x)^m*(a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(184\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(196\)

Giac [F(-2)]

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

integrate((e*x^2+d)*arccosh(a*x)*log(c*x^n),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/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(197\)

Giac [F(-2)]

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

integrate((e*x^2+d)*arcsinh(a*x)^2*log(c*x^n),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/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(202\)

Giac [F(-2)]

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

integrate((e*x^2+d)*arccosh(a*x)^2*log(c*x^n),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/3_Logarithms/171_3.3

Test file number \(171\)

Integral number in file \(203\)

Giac [F(-2)]

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

integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n 
)))^p,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 
,0,5,5,0,2,2,3,3,0,0,0,2]%%%}+%%%{-2,[0,0,5,4,1,3,1,3,3,0,0,0,2]%%%}+%%%{1 
,[0,0,5,3,2,
 

input file name test_cases/rubi_tests/3_Logarithms/173_3.5

Test file number \(173\)

Integral number in file \(226\)

Giac [F(-2)]

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

integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m*(A+B*log(e*(b*x+a)^n/((d*x+c)^n 
)))^p,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 
,0,5,5,0,2,2,3,3,0,0,0,2]%%%}+%%%{-2,[0,0,5,4,1,3,1,3,3,0,0,0,2]%%%}+%%%{1 
,[0,0,5,3,2,
 

input file name test_cases/rubi_tests/3_Logarithms/173_3.5

Test file number \(173\)

Integral number in file \(227\)

Giac [F(-2)]

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

integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^n,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 
,0,7,4,0,5,0,3,5,0,0,0]%%%}+%%%{5,[0,0,6,4,0,4,1,3,5,0,0,0]%%%}+%%%{2,[0,0 
,6,3,1,5,0,3
 

input file name test_cases/rubi_tests/3_Logarithms/175_3.7

Test file number \(175\)

Integral number in file \(169\)

Giac [F(-2)]

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

integrate((i*x+h)^q*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),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 
,0,5,0,2,0,5,0,3,0,2,0]%%%}+%%%{5,[0,0,4,0,2,0,4,1,3,0,2,0]%%%}+%%%{10,[0, 
0,3,0,2,0,3,
 

input file name test_cases/rubi_tests/3_Logarithms/175_3.7

Test file number \(175\)

Integral number in file \(209\)

Giac [F(-2)]

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

integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h)^2,x, algorithm="giac" 
)
 

Output:

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

input file name test_cases/rubi_tests/3_Logarithms/175_3.7

Test file number \(175\)

Integral number in file \(215\)

Giac [F(-2)]

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

integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^n,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 
,0,7,4,0,5,0,3,3,3,0,2,0,0,0]%%%}+%%%{5,[0,0,6,4,0,4,1,3,3,3,0,2,0,0,0]%%% 
}+%%%{2,[0,0
 

input file name test_cases/rubi_tests/3_Logarithms/175_3.7

Test file number \(175\)

Integral number in file \(532\)

Giac [F(-2)]

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

integrate((g*x+f)^m*log(c*(d+e*x^n)^p),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,[ 
0,0,6,3,6,0,2,2,0,1,0]%%%}+%%%{1,[0,0,6,2,6,1,2,2,0,0,1]%%%}+%%%{1,[0,0,6, 
2,6,0,2,2,0,
 

input file name test_cases/rubi_tests/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(211\)

Giac [F(-2)]

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

integrate((a+b*log(c*(d*g*x^2+4*d)^p))/x^2/(g*x^2+4)^(1/2),x, algorithm="g 
iac")
 

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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(672\)

Giac [F(-2)]

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

integrate((a+b*log(c*(d*g*x^2+4*d)^p))/x^4/(g*x^2+4)^(1/2),x, algorithm="g 
iac")
 

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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(673\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c \left (4 d+d g x^2\right )^p\right )}{x^6 \sqrt {4+g x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*log(c*(d*g*x^2+4*d)^p))/x^6/(g*x^2+4)^(1/2),x, algorithm="g 
iac")
 

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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(674\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c \left (4 d+d g x^2\right )^p\right )}{x^8 \sqrt {4+g x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*log(c*(d*g*x^2+4*d)^p))/x^8/(g*x^2+4)^(1/2),x, algorithm="g 
iac")
 

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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(675\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c \left (4 d-d g x^2\right )^p\right )}{x^2 \sqrt {4-g x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*log(c*(-d*g*x^2+4*d)^p))/x^2/(-g*x^2+4)^(1/2),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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(685\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c \left (4 d-d g x^2\right )^p\right )}{x^4 \sqrt {4-g x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*log(c*(-d*g*x^2+4*d)^p))/x^4/(-g*x^2+4)^(1/2),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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(686\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c \left (4 d-d g x^2\right )^p\right )}{x^6 \sqrt {4-g x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*log(c*(-d*g*x^2+4*d)^p))/x^6/(-g*x^2+4)^(1/2),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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(687\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c \left (4 d-d g x^2\right )^p\right )}{x^8 \sqrt {4-g x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*log(c*(-d*g*x^2+4*d)^p))/x^8/(-g*x^2+4)^(1/2),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/3_Logarithms/176_3.8

Test file number \(176\)

Integral number in file \(688\)

Giac [F(-2)]

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

integrate(sec(d*x+c)^2/(a+a*sin(d*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/4_Trig_functions/4.1_Sine/180_4.1.1.2

Test file number \(180\)

Integral number in file \(164\)

Giac [F(-2)]

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

integrate((e*cos(d*x+c))^(1/2)/(a+a*sin(d*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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/180_4.1.1.2

Test file number \(180\)

Integral number in file \(300\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(e \cos (c+d x))^{9/2}}{(a+b \sin (c+d x))^2} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((e*cos(d*x+c))^(9/2)/(a+b*sin(d*x+c))^2,x, algorithm="giac")
 

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/180_4.1.1.2

Test file number \(180\)

Integral number in file \(582\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^(1/2)*tan(f*x+e)^4,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/181_4.1.1.3

Test file number \(181\)

Integral number in file \(91\)

Giac [F(-2)]

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

integrate(sin(d*x+c)^(1/2)*(a+b*sin(d*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:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.The choice 
 was done
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(211\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(302\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(303\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(304\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(305\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(310\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(311\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(312\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(313\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(9/2),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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(314\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(319\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(320\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(321\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(322\)

Giac [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(9/2),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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(323\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^{11/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(11/2),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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(324\)

Giac [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(329\)

Giac [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(330\)

Giac [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(331\)

Giac [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(337\)

Giac [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(338\)

Giac [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(339\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{(a+a \sin (e+f x))^3 \sqrt {c-c \sin (e+f x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(345\)

Giac [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(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/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(346\)