Integrals 3701 to 3800

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(d+ex)}{{(a+b\cot (d+ex)+c{\cot }^2(d+ex))}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\cot (d+ex)}{{(a+b\cot (d+ex)+c{\cot }^2(d+ex))}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\tan (d+ex)}{{(a+b\cot (d+ex)+c{\cot }^2(d+ex))}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{\tan }^3(d+ex)}{{(a+b\cot (d+ex)+c{\cot }^2(d+ex))}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\tan (d+ex)}{\sqrt{a+b{\cot }^2(d+ex)+c{\cot }^4(d+ex)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{\tan }^3(d+ex)}{\sqrt{a+b{\cot }^2(d+ex)+c{\cot }^4(d+ex)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \sqrt{a+b{\cot }^2(d+ex)+c{\cot }^4(d+ex)}\tan (d+ex)dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \sqrt{a+b{\cot }^2(d+ex)+c{\cot }^4(d+ex)}{\tan }^3(d+ex)dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{1}{{(a{\sec }^4(x))}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{{(a{\sec }^4(x))}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int {\cos }^2(c+dx)(a+a\sec (c+dx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int {\cos }^4(c+dx)(a+a\sec (c+dx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int {\sec }^{\frac{3}{2}}(c+dx)(a+a\sec (c+dx){)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {\sec }^{\frac{5}{2}}(c+dx)(a+a\sec (c+dx){)}^{5/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\sec }^{\frac{3}{2}}(c+dx)}{\sqrt{a+a\sec (c+dx)}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{{\sec }^{\frac{3}{2}}(c+dx)}{(a+a\sec (c+dx){)}^{3/2}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{\sqrt{\sec (c+dx)}}{(a+a\sec (c+dx){)}^{3/2}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{1}{{\sec }^{\frac{5}{2}}(c+dx)(a+a\sec (c+dx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\sec }^{\frac{3}{2}}(c+dx)}{\sqrt{1+\sec (c+dx)}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{{\sec }^n(e+fx)}{a+a\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{\sec }^n(e+fx)}{(a+a\sec (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+a\sec (c+dx){)}^{3/2}}{{\cos }^{\frac{3}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+a\sec (c+dx){)}^{5/2}}{{\cos }^{\frac{5}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{{\cos }^{\frac{7}{2}}(c+dx)(a+a\sec (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{{\cos }^{\frac{9}{2}}(c+dx)(a+a\sec (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(d\cos (e+fx){)}^n}{a+a\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(d\cos (e+fx){)}^n}{(a+a\sec (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\sec (c+dx){)}^{5/2}}{{\sec }^{\frac{4}{3}}(c+dx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\sec (c+dx){)}^{5/2}}{{\sec }^{\frac{7}{3}}(c+dx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int (a+a\sec (c+dx))(e\sin (c+dx){)}^{5/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int (a+a\sec (c+dx){)}^2(e\sin (c+dx){)}^{5/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{(e\sin (c+dx){)}^m}{a+a\sec (c+dx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(e\sin (c+dx){)}^m}{(a+a\sec (c+dx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(e\sin (c+dx){)}^m}{(a+a\sec (c+dx){)}^3}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(e\sin (c+dx){)}^m}{(a+a\sec (c+dx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{(e\tan (c+dx){)}^m}{a+a\sec (c+dx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(e\tan (c+dx){)}^m}{(a+a\sec (c+dx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(e\tan (c+dx){)}^m}{(a+a\sec (c+dx){)}^3}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\cot (c+dx)}{\sqrt{a+b\sec (c+dx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\cot (c+dx)}{(a+b\sec (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{\cot }^3(c+dx)}{(a+b\sec (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^4}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^3}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^2}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{c-c\sec (e+fx)}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt{a+a\sec (e+fx)}(c-c\sec (e+fx))}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt{a+a\sec (e+fx)}(c-c\sec (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt{a+a\sec (e+fx)}(c-c\sec (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^4}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^3}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^2}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{c-c\sec (e+fx)}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{(a+a\sec (e+fx){)}^{3/2}(c-c\sec (e+fx))}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{(a+a\sec (e+fx){)}^{3/2}(c-c\sec (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{(a+a\sec (e+fx){)}^{3/2}(c-c\sec (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^5}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^4}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^3}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^2}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{c-c\sec (e+fx)}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{(a+a\sec (e+fx){)}^{5/2}(c-c\sec (e+fx))}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{(a+a\sec (e+fx){)}^{5/2}(c-c\sec (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \sqrt{a+a\sec (e+fx)}(c-c\sec (e+fx){)}^{7/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \sqrt{a+a\sec (e+fx)}(c-c\sec (e+fx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \sqrt{a+a\sec (e+fx)}(c-c\sec (e+fx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \sqrt{a+a\sec (e+fx)}\sqrt{c-c\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int (a+a\sec (e+fx){)}^{3/2}(c-c\sec (e+fx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int (a+a\sec (e+fx){)}^{3/2}(c-c\sec (e+fx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int (a+a\sec (e+fx){)}^{3/2}\sqrt{c-c\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+a\sec (e+fx){)}^{3/2}}{\sqrt{c-c\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int (a+a\sec (e+fx){)}^{5/2}(c-c\sec (e+fx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int (a+a\sec (e+fx){)}^{5/2}(c-c\sec (e+fx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ 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. $$\int (a+a\sec (e+fx){)}^{5/2}\sqrt{c-c\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+a\sec (e+fx){)}^{5/2}}{\sqrt{c-c\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+a\sec (e+fx){)}^{5/2}}{(c-c\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{7/2}}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{5/2}}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{3/2}}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{c-c\sec (e+fx)}}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{7/2}}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{5/2}}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{3/2}}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{c-c\sec (e+fx)}}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{5/2}}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^{3/2}}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{c-c\sec (e+fx)}}{(a+a\sec (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^n}{a+a\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c-c\sec (e+fx){)}^n}{(a+a\sec (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+a\sec (e+fx){)}^{3/2}}{c+d\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+a\sec (e+fx){)}^{5/2}}{c+d\sec (e+fx)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c+d\sec (e+fx){)}^3}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c+d\sec (e+fx){)}^2}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{c+d\sec (e+fx)}{\sqrt{a+a\sec (e+fx)}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt{a+a\sec (e+fx)}(c+d\sec (e+fx))}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt{a+a\sec (e+fx)}(c+d\sec (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt{a+a\sec (e+fx)}(c+d\sec (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c+d\sec (e+fx){)}^3}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(c+d\sec (e+fx){)}^2}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{c+d\sec (e+fx)}{(a+a\sec (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{(a+a\sec (e+fx){)}^{3/2}(c+d\sec (e+fx))}dx=\text{Exception raised: TypeError}$$ 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 $175$