Integrals 3501 to 3600

Giac [F(-2)]

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

integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $625$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $626$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $627$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $628$

Giac [F(-2)]

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

integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $629$

Giac [F(-2)]

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

integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $630$

Giac [F(-2)]

Exception generated. $$\int {\cot }^{\frac{13}{2}}(c+dx)(a+b\tan (c+dx){)}^{5/2}(A+B\tan (c+dx))dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^(13/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, alg 
orithm="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/218_4.3.3.1

Test file number $218$

Integral number in file $631$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(11/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, alg 
orithm="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/218_4.3.3.1

Test file number $218$

Integral number in file $632$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(9/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $633$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $634$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $635$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $636$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $637$

Giac [F(-2)]

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

integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $638$

Giac [F(-2)]

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

integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $639$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(3/2),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $649$

Giac [F(-2)]

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

integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algo 
rithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%%{ 
1,[6,14,5]%%%}+%%%{6,[6,12,5]%%%}+%%%{15,[6,10,5]%%%}+%%%{20,[6,8,5]%%%}+% 
%%{15,[6,6,5
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $652$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(5/2),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $654$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+b*tan(d*x+c))^(5/2),x, algo 
rithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{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/218_4.3.3.1

Test file number $218$

Integral number in file $656$

Giac [F(-2)]

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

integrate((B*a+b*B*tan(d*x+c))/cot(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: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/218_4.3.3.1

Test file number $218$

Integral number in file $658$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx))(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{7/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $740$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx))(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $741$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx))(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $742$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx))(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $743$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx))(A+B\tan (e+fx))}{\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $744$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx))(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $745$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx))(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $746$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx))(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{7/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $747$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{7/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $748$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $749$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $750$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $751$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))}{\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $752$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $753$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $754$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^2(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{7/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $755$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^3(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{7/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $756$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^3(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $757$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^3(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $758$

Giac [F(-2)]

Exception generated. $$\int (a+ia\tan (e+fx){)}^3(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $759$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^3(A+B\tan (e+fx))}{\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $760$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^3(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $761$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $762$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $763$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{7/2}}{a+ia\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(f*x+e)),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 TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $764$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{5/2}}{a+ia\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e)),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 TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $765$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}}{a+ia\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e)),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 TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $766$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}}{a+ia\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e)),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 TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $767$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx))\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $768$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $769$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx))(c-ic\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $770$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{9/2}}{(a+ia\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(9/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $771$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{7/2}}{(a+ia\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $772$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{5/2}}{(a+ia\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $773$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}}{(a+ia\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $774$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}}{(a+ia\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $775$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx){)}^2\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $776$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx){)}^2(c-ic\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $777$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx){)}^2(c-ic\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $778$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{9/2}}{(a+ia\tan (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(9/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $779$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $780$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $781$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}}{(a+ia\tan (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $782$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}}{(a+ia\tan (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeError: Bad Ar 
gument Ty
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $783$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx){)}^3\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $784$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)}{(a+ia\tan (e+fx){)}^3(c-ic\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $785$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $786$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+ia\tan (e+fx)}(A+B\tan (e+fx))}{\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $791$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $792$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $793$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+ia\tan (e+fx)}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{7/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $794$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $799$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{3/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $800$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $801$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $802$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{3/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{9/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(9/ 
2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $803$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{3/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{11/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(11 
/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $804$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $809$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $810$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{5/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $811$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $812$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(9/ 
2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $813$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{5/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{11/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(11 
/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $814$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{5/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{13/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(13 
/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 TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $815$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{7/2}(A+B\tan (e+fx))}{\sqrt{c-ic\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $821$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $822$

Giac [F(-2)]

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

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $823$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{7/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{7/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $824$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{7/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{9/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(9/ 
2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $825$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{7/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{11/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(11 
/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $826$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{7/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{13/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(13 
/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 TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $827$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{7/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{15/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(15 
/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 TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $828$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+ia\tan (e+fx){)}^{7/2}(A+B\tan (e+fx))}{(c-ic\tan (e+fx){)}^{17/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(17 
/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 TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $829$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $830$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $831$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}}{\sqrt{a+ia\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $832$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $836$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $837$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}}{(a+ia\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $838$

Giac [F(-2)]

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

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(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:Error: Bad Argument TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $839$