Integrals 3701 to 3800

Giac [F(-2)]

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

integrate(cot(e*x+d)^3/(a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(3/2),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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(12\)

Giac [F(-2)]

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

integrate(cot(e*x+d)/(a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(3/2),x, algorithm="g 
iac")
 

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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(13\)

Giac [F(-2)]

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

integrate(tan(e*x+d)/(a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(3/2),x, algorithm="g 
iac")
 

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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(14\)

Giac [F(-2)]

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

integrate(tan(e*x+d)^3/(a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(3/2),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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(15\)

Giac [F(-2)]

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

integrate(tan(e*x+d)/(a+b*cot(e*x+d)^2+c*cot(e*x+d)^4)^(1/2),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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(19\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^3(d+e x)}{\sqrt {a+b \cot ^2(d+e x)+c \cot ^4(d+e x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(e*x+d)^3/(a+b*cot(e*x+d)^2+c*cot(e*x+d)^4)^(1/2),x, algorith 
m="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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(20\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \cot ^2(d+e x)+c \cot ^4(d+e x)} \tan (d+e x) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*cot(e*x+d)^2+c*cot(e*x+d)^4)^(1/2)*tan(e*x+d),x, algorithm= 
"giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Not invertible Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(24\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \cot ^2(d+e x)+c \cot ^4(d+e x)} \tan ^3(d+e x) \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((a+b*cot(e*x+d)^2+c*cot(e*x+d)^4)^(1/2)*tan(e*x+d)^3,x, algorith 
m="giac")
 

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(25\)

Giac [F(-2)]

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

integrate(1/(a*sec(x)^4)^(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/4.5_Secant/231_4.5.0

Test file number \(231\)

Integral number in file \(66\)

Giac [F(-2)]

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

integrate(1/(a*sec(x)^4)^(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/4.5_Secant/231_4.5.0

Test file number \(231\)

Integral number in file \(67\)

Giac [F(-2)]

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

integrate(cos(d*x+c)^2*(a+a*sec(d*x+c))^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%{[%%%{%%{[469762048,0]:[1,0,-2]%%},[14]%%%},0]:[1,0,%%%{ 
1,[1]%%%}
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(105\)

Giac [F(-2)]

Exception generated. \[ \int \cos ^4(c+d x) (a+a \sec (c+d x))^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(cos(d*x+c)^4*(a+a*sec(d*x+c))^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%{[%%%{%%{[-2309237210123256509497344,0]:[1,0,-2]%%},[35] 
%%%},0]:[
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(115\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%{[ 
%%%{%%{[-469762048,0]:[1,0,-2]%%},[14]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,1 
]%%%} / %%%{
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(226\)

Giac [F(-2)]

Exception generated. \[ \int \sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%{[ 
%%%{%%{[2309237210123256509497344,0]:[1,0,-2]%%},[35]%%%},0]:[1,0,%%%{-1,[ 
1]%%%}]%%},[
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(233\)

Giac [F(-2)]

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

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

Output:

Exception raised: AttributeError >> type
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(246\)

Giac [F(-2)]

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

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

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(253\)

Giac [F(-2)]

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

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

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(254\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(257\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x)}{\sqrt {1+\sec (c+d x)}} \, dx=\text {Exception raised: AttributeError} \] Input:

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

Output:

Exception raised: AttributeError >> type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(267\)

Giac [F(-2)]

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

integrate(sec(f*x+e)^n/(a+a*sec(f*x+e)),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]%%%} / %%%{2,[0,0,1]%%%} Error: Bad Argument Val 
ue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(292\)

Giac [F(-2)]

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

integrate(sec(f*x+e)^n/(a+a*sec(f*x+e))^2,x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,2,0]%%%}+%%%{-3,[0,1,0,0]%%%} / %%%{4,[0,0,0,2]%%%} 
 Error: B
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(293\)

Giac [F(-2)]

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

integrate((a+a*sec(d*x+c))^(3/2)/cos(d*x+c)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%{[%%%{%%{[-469762048,0]:[1,0,-2]%%},[14]%%%},0]:[1,0,%%% 
{-1,[1]%%
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(410\)

Giac [F(-2)]

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

integrate((a+a*sec(d*x+c))^(5/2)/cos(d*x+c)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%{[%%%{%%{[2309237210123256509497344,0]:[1,0,-2]%%},[35]% 
%%},0]:[1
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(419\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\cos ^{\frac {7}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/cos(d*x+c)^(7/2)/(a+a*sec(d*x+c))^(3/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(433\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\cos ^{\frac {9}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/cos(d*x+c)^(9/2)/(a+a*sec(d*x+c))^(5/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(440\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(d \cos (e+f x))^n}{a+a \sec (e+f x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*cos(f*x+e))^n/(a+a*sec(f*x+e)),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]%%%} / %%%{2,[0,0,1]%%%} Error: Bad Argument Val 
ue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(444\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(d \cos (e+f x))^n}{(a+a \sec (e+f x))^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*cos(f*x+e))^n/(a+a*sec(f*x+e))^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,2,0]%%%}+%%%{-3,[0,1,0,0]%%%} / %%%{4,[0,0,0,2]%%%} 
 Error: B
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(445\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b \sec (c+d x))^{5/2}}{\sec ^{\frac {4}{3}}(c+d x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*sec(d*x+c))^(5/2)/sec(d*x+c)^(4/3),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(744\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b \sec (c+d x))^{5/2}}{\sec ^{\frac {7}{3}}(c+d x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*sec(d*x+c))^(5/2)/sec(d*x+c)^(7/3),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(746\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Warning, need to choose a branch for the root of a poly 
nomial with parameters. This might be wrong.The choice was done assuming 0 
=[0,0]ext_re
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/233_4.5.1.3

Test file number \(233\)

Integral number in file \(108\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Warning, need to choose a branch for the root of a poly 
nomial with parameters. This might be wrong.The choice was done assuming 0 
=[0,0]ext_re
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/233_4.5.1.3

Test file number \(233\)

Integral number in file \(114\)

Giac [F(-2)]

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

integrate((e*sin(d*x+c))^m/(a+a*sec(d*x+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]%%%} / %%%{2,[0,0,1]%%%} Error: Bad Argument Val 
ue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/233_4.5.1.3

Test file number \(233\)

Integral number in file \(137\)

Giac [F(-2)]

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

integrate((e*sin(d*x+c))^m/(a+a*sec(d*x+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,[0,1,2,0]%%%}+%%%{-3,[0,1,0,0]%%%} / %%%{4,[0,0,0,2]%%%} 
 Error: B
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/233_4.5.1.3

Test file number \(233\)

Integral number in file \(138\)

Giac [F(-2)]

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

integrate((e*sin(d*x+c))^m/(a+a*sec(d*x+c))^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,1,4,0]%%%}+%%%{4,[0,1,2,0]%%%}+%%%{-7,[0,1,0,0]%%%} 
/ %%%{8,[
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/233_4.5.1.3

Test file number \(233\)

Integral number in file \(139\)

Giac [F(-2)]

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

integrate((e*sin(d*x+c))^m/(a+a*sec(d*x+c))^(3/2),x, algorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%%{ 
%%{poly1[1,0]:[1,0,-2]%%},[5,12]%%%}+%%%{%%{[6,0]:[1,0,-2]%%},[5,10]%%%}+% 
%%{%%{[15,0]
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/233_4.5.1.3

Test file number \(233\)

Integral number in file \(143\)

Giac [F(-2)]

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

integrate((e*tan(d*x+c))^m/(a+a*sec(d*x+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]%%%} / %%%{2,[0,0,1]%%%} Error: Bad Argument Val 
ue
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(212\)

Giac [F(-2)]

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

integrate((e*tan(d*x+c))^m/(a+a*sec(d*x+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,[0,1,2,0]%%%}+%%%{-3,[0,1,0,0]%%%} / %%%{4,[0,0,0,2]%%%} 
 Error: B
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(213\)

Giac [F(-2)]

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

integrate((e*tan(d*x+c))^m/(a+a*sec(d*x+c))^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,1,4,0]%%%}+%%%{4,[0,1,2,0]%%%}+%%%{-7,[0,1,0,0]%%%} 
/ %%%{8,[
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(214\)

Giac [F(-2)]

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

integrate(cot(d*x+c)/(a+b*sec(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(326\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(335\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{32,[2,6]%%%}+%%%{-32,[1,7]%%%},[6,1]%%%}+%%%{%%{[%%%{6 
4,[2,6]%%
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(336\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^4/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(65\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^3/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(66\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^2/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(67\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(68\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(1/2)/(c-c*sec(f*x+e)),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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(69\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(1/2)/(c-c*sec(f*x+e))^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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(70\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(1/2)/(c-c*sec(f*x+e))^3,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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(71\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^4/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(72\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^3/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(73\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^2/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(74\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(75\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(3/2)/(c-c*sec(f*x+e)),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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(76\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(3/2)/(c-c*sec(f*x+e))^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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(77\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(3/2)/(c-c*sec(f*x+e))^3,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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(78\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^5/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(79\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(c-c \sec (e+f x))^4}{(a+a \sec (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c-c*sec(f*x+e))^4/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(80\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^3/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(81\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^2/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(82\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(83\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e)),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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(84\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e))^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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(85\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(86\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(87\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(88\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(89\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(3/2)*(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(94\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(3/2)*(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(95\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(3/2)*(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(96\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(3/2)/(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(97\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)*(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(101\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)*(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(102\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)*(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(103\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)/(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(104\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)/(c-c*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(105\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(7/2)/(a+a*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(110\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(5/2)/(a+a*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(111\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(3/2)/(a+a*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(112\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(1/2)/(a+a*sec(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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(113\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(7/2)/(a+a*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(117\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(5/2)/(a+a*sec(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(118\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(3/2)/(a+a*sec(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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(119\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(1/2)/(a+a*sec(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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(120\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(5/2)/(a+a*sec(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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(125\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(3/2)/(a+a*sec(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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(126\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^(1/2)/(a+a*sec(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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(127\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^n/(a+a*sec(f*x+e)),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]%%%} / %%%{2,[0,0,1]%%%} Error: Bad Argument Val 
ue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(136\)

Giac [F(-2)]

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

integrate((c-c*sec(f*x+e))^n/(a+a*sec(f*x+e))^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,2,0]%%%}+%%%{-3,[0,1,0,0]%%%} / %%%{4,[0,0,0,2]%%%} 
 Error: B
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(137\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(3/2)/(c+d*sec(f*x+e)),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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(157\)

Giac [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)/(c+d*sec(f*x+e)),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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(163\)

Giac [F(-2)]

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

integrate((c+d*sec(f*x+e))^3/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(166\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(167\)

Giac [F(-2)]

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

integrate((c+d*sec(f*x+e))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(168\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(1/2)/(c+d*sec(f*x+e)),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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(169\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(1/2)/(c+d*sec(f*x+e))^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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(170\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(1/2)/(c+d*sec(f*x+e))^3,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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(171\)

Giac [F(-2)]

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

integrate((c+d*sec(f*x+e))^3/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(172\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(173\)

Giac [F(-2)]

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

integrate((c+d*sec(f*x+e))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(174\)

Giac [F(-2)]

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

integrate(1/(a+a*sec(f*x+e))^(3/2)/(c+d*sec(f*x+e)),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/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(175\)