Integrals 3001 to 3100

Giac [F(-2)]

Exception generated. $$\int {\cot }^4(c+dx)(a+b\tan (c+dx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^4*(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $526$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (c+dx){)}^{7/2}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,19,7]%%%}+%%%{8,[0,17,7]%%%}+%%%{28,[0,15,7]%%%}+ 
%%%{56,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $527$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^5(c+dx)}{\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^5/(a+b*tan(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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $528$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^4(c+dx)}{\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^4/(a+b*tan(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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,19,7]%%%}+%%%{8,[0,17,7]%%%}+%%%{28,[0,15,7]%%%}+ 
%%%{56,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $529$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(c+dx)}{\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^3/(a+b*tan(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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,14,5]%%%}+%%%{6,[0,12,5]%%%}+%%%{15,[0,10,5]%%%}+ 
%%%{20,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $530$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^2(c+dx)}{\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^2/(a+b*tan(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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,9,3]%%%}+%%%{4,[0,7,3]%%%}+%%%{6,[0,5,3]%%%}+%%%{ 
4,[0,3,3]
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $531$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^2(c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^2/(a+b*tan(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%%%{%%%{1,[3,9,3]%%%}+%%%{4,[3,7,3]%%%}+%%%{6,[3,5,3]%%%}+%%%{ 
4,[3,3,3]
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $540$

Giac [F(-2)]

Exception generated. $$\int \frac{\tan (c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)/(a+b*tan(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%%%{%%%{1,[3,9,3]%%%}+%%%{4,[3,7,3]%%%}+%%%{6,[3,5,3]%%%}+%%%{ 
4,[3,3,3]
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $541$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(a+b*tan(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%%%{%%%{1,[3,9,3]%%%}+%%%{4,[3,7,3]%%%}+%%%{6,[3,5,3]%%%}+%%%{ 
4,[3,3,3]
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $542$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)/(a+b*tan(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%%%{%%%{1,[4,13,4]%%%}+%%%{6,[4,11,4]%%%}+%%%{15,[4,9,4]%%%}+% 
%%{20,[4,
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $543$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^2(c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^2/(a+b*tan(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%%%{%%%{1,[3,17,7]%%%}+%%%{8,[3,15,7]%%%}+%%%{28,[3,13,7]%%%}+ 
%%%{56,[3
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $544$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^3/(a+b*tan(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%%%{%%%{-1,[6,21,6]%%%}+%%%{-10,[6,19,6]%%%}+%%%{-45,[6,17,6]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $545$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^3/(a+b*tan(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%%%{%%%{1,[6,14,5]%%%}+%%%{6,[6,12,5]%%%}+%%%{15,[6,10,5]%%%}+ 
%%%{20,[6
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $548$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^2(c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^2/(a+b*tan(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%%%{%%%{1,[6,14,5]%%%}+%%%{6,[6,12,5]%%%}+%%%{15,[6,10,5]%%%}+ 
%%%{20,[6
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $549$

Giac [F(-2)]

Exception generated. $$\int \frac{\tan (c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)/(a+b*tan(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%%%{%%%{1,[6,14,5]%%%}+%%%{6,[6,12,5]%%%}+%%%{15,[6,10,5]%%%}+ 
%%%{20,[6
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $550$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(a+b*tan(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%%%{%%%{1,[6,14,5]%%%}+%%%{6,[6,12,5]%%%}+%%%{15,[6,10,5]%%%}+ 
%%%{20,[6
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $551$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)/(a+b*tan(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%%%{%%%{1,[8,18,6]%%%}+%%%{8,[8,16,6]%%%}+%%%{28,[8,14,6]%%%}+ 
%%%{56,[8
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $552$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^2(c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^2/(a+b*tan(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%%%{%%%{1,[9,22,7]%%%}+%%%{10,[9,20,7]%%%}+%%%{45,[9,18,7]%%%} 
+%%%{120,
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $553$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(a+b\tan (c+dx){)}^{7/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(a+b*tan(d*x+c))^(7/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[9,19,7]%%%}+%%%{8,[9,17,7]%%%}+%%%{28,[9,15,7]%%%}+ 
%%%{56,[9
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $554$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{5}{2}}(c+dx)(a+b\tan (c+dx))dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $555$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{3}{2}}(c+dx)(a+b\tan (c+dx))dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $556$

Giac [F(-2)]

Exception generated. $$\int \sqrt{\tan (c+dx)}(a+b\tan (c+dx))dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $557$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{5}{2}}(c+dx)(a+b\tan (c+dx){)}^{2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(5/2)*(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $562$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{3}{2}}(c+dx)(a+b\tan (c+dx){)}^{2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(3/2)*(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $563$

Giac [F(-2)]

Exception generated. $$\int \sqrt{\tan (c+dx)}(a+b\tan (c+dx){)}^{2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(1/2)*(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $564$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^2}{\sqrt{\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^2/tan(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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $565$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{5}{2}}(c+dx)(a+b\tan (c+dx){)}^{3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(5/2)*(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $569$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{3}{2}}(c+dx)(a+b\tan (c+dx){)}^{3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(3/2)*(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $570$

Giac [F(-2)]

Exception generated. $$\int \sqrt{\tan (c+dx)}(a+b\tan (c+dx){)}^{3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(1/2)*(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $571$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^3}{\sqrt{\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^3/tan(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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $572$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^3}{{\tan }^{\frac{3}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^3/tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $573$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{9}{2}}(c+dx)}{a+b\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $582$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{7}{2}}(c+dx)}{a+b\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $583$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{5}{2}}(c+dx)}{a+b\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $584$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{3}{2}}(c+dx)}{a+b\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $585$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\tan (c+dx)}}{a+b\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $586$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{\tan (c+dx)}(a+b\tan (c+dx))}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $587$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{3}{2}}(c+dx)(a+b\tan (c+dx))}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $588$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{5}{2}}(c+dx)(a+b\tan (c+dx))}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $589$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{7}{2}}(c+dx)(a+b\tan (c+dx))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(7/2)/(a+b*tan(d*x+c)),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $590$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{7}{2}}(c+dx)}{(a+b\tan (c+dx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(7/2)/(a+b*tan(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $592$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{3}{2}}(c+dx)(a+b\tan (c+dx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(3/2)/(a+b*tan(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $597$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{5}{2}}(c+dx)\sqrt{a+b\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $608$

Giac [F(-2)]

Exception generated. $$\int {\tan }^{\frac{3}{2}}(c+dx)\sqrt{a+b\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $609$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+b\tan (c+dx)}}{{\tan }^{\frac{3}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(1/2)/tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $612$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+b\tan (c+dx)}}{{\tan }^{\frac{5}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(1/2)/tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $613$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+b\tan (c+dx)}}{{\tan }^{\frac{7}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(1/2)/tan(d*x+c)^(7/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $614$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{3/2}}{\sqrt{\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(3/2)/tan(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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $618$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{3/2}}{{\tan }^{\frac{3}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(3/2)/tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $619$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{3/2}}{{\tan }^{\frac{5}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(3/2)/tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $620$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{3/2}}{{\tan }^{\frac{7}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $621$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{3/2}}{{\tan }^{\frac{9}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(3/2)/tan(d*x+c)^(9/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $622$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{5/2}}{\sqrt{\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(5/2)/tan(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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $626$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{5/2}}{{\tan }^{\frac{3}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(5/2)/tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $627$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{5/2}}{{\tan }^{\frac{5}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(5/2)/tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $628$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{5/2}}{{\tan }^{\frac{7}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $629$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{5/2}}{{\tan }^{\frac{9}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(5/2)/tan(d*x+c)^(9/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $630$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (c+dx){)}^{5/2}}{{\tan }^{\frac{11}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(d*x+c))^(5/2)/tan(d*x+c)^(11/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $631$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{7}{2}}(c+dx)}{\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^(7/2)/(a+b*tan(d*x+c))^(1/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $632$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{5}{2}}(c+dx)}{\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $633$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{3}{2}}(c+dx)}{\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $634$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{3}{2}}(c+dx)\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(3/2)/(a+b*tan(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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $637$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{5}{2}}(c+dx)\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(5/2)/(a+b*tan(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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $638$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{7}{2}}(c+dx)\sqrt{a+b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(7/2)/(a+b*tan(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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $639$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{7}{2}}(c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $640$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{5}{2}}(c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $641$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{3}{2}}(c+dx)}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $642$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\tan (c+dx)}}{(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $643$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{\tan (c+dx)}(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(1/2)/(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $644$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{3}{2}}(c+dx)(a+b\tan (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(3/2)/(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $645$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{9}{2}}(c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^(9/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $647$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{7}{2}}(c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $648$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{5}{2}}(c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $649$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^{\frac{3}{2}}(c+dx)}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $650$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\tan (c+dx)}}{(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $651$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{\tan (c+dx)}(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(1/2)/(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $652$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{\tan }^{\frac{5}{2}}(c+dx)(a+b\tan (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/tan(d*x+c)^(5/2)/(a+b*tan(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: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/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $654$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\tan (c+dx)}}{\sqrt{2+3\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(1/2)/(2+3*tan(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:Unable to find common minimal polyn 
omial Error: Bad Argument ValueDone
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $663$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\tan (c+dx)}}{\sqrt{-2+3\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(1/2)/(-2+3*tan(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:Unable to find common minimal polyn 
omial Error: Bad Argument ValueDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $664$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\tan (c+dx)}}{\sqrt{-2-3\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^(1/2)/(-2-3*tan(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:Unable to find common minimal polyn 
omial Error: Bad Argument ValueDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $666$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{7}{2}}(c+dx)\sqrt{a+ia\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $751$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{5}{2}}(c+dx)\sqrt{a+ia\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $752$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{3}{2}}(c+dx)\sqrt{a+ia\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $753$

Giac [F(-2)]

Exception generated. $$\int \sqrt{\cot (c+dx)}\sqrt{a+ia\tan (c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $754$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+ia\tan (c+dx)}}{\sqrt{\cot (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(d*x+c))^(1/2)/cot(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $755$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+ia\tan (c+dx)}}{{\cot }^{\frac{3}{2}}(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(d*x+c))^(1/2)/cot(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 TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $756$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{7}{2}}(c+dx)(a+ia\tan (c+dx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(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 TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $757$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{5}{2}}(c+dx)(a+ia\tan (c+dx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(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 TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $758$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{3}{2}}(c+dx)(a+ia\tan (c+dx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(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 TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $759$

Giac [F(-2)]

Exception generated. $$\int \sqrt{\cot (c+dx)}(a+ia\tan (c+dx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(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 TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $760$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (c+dx){)}^{3/2}}{\sqrt{\cot (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(d*x+c))^(3/2)/cot(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $761$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{9}{2}}(c+dx)(a+ia\tan (c+dx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(9/2)*(a+I*a*tan(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: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $762$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{7}{2}}(c+dx)(a+ia\tan (c+dx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(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: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $763$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{5}{2}}(c+dx)(a+ia\tan (c+dx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(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: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $764$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{3}{2}}(c+dx)(a+ia\tan (c+dx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(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: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $765$

Giac [F(-2)]

Exception generated. $$\int \sqrt{\cot (c+dx)}(a+ia\tan (c+dx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(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: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $766$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (c+dx){)}^{5/2}}{\sqrt{\cot (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(d*x+c))^(5/2)/cot(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $767$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^{\frac{5}{2}}(c+dx)}{\sqrt{a+ia\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(5/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $768$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^{\frac{3}{2}}(c+dx)}{\sqrt{a+ia\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(3/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $769$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\cot (c+dx)}}{\sqrt{a+ia\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(1/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number $217$

Integral number in file $770$