Integrals 3301 to 3400

Giac [F(-2)]

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

integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, al 
gorithm="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 $154$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, al 
gorithm="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 $155$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, al 
gorithm="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 $156$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, al 
gorithm="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 $157$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, al 
gorithm="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 $158$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, al 
gorithm="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 $159$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, al 
gorithm="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 $160$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, al 
gorithm="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 TypeUnable to con 
vert to r
 

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 $161$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, al 
gorithm="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 $162$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, al 
gorithm="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 $163$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, al 
gorithm="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 $164$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, al 
gorithm="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 $165$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, al 
gorithm="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 $166$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, al 
gorithm="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 $167$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, a 
lgorithm="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 $168$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, al 
gorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $169$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, al 
gorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $170$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, al 
gorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $171$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, al 
gorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $172$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, al 
gorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $173$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, al 
gorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $174$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, al 
gorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $175$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, a 
lgorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $176$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(13/2),x, a 
lgorithm="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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $177$

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(5/2)*(3/2*b*B/a+B*tan(d*x+c))/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 TypeWarning, need to choose a branch for the root of a polynomial 
 with par
 

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 $178$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, al 
gorithm="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 $179$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, al 
gorithm="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 TypeWarning, need 
 to choos
 

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 $180$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(1/2),x, al 
gorithm="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 $181$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^(1/2),x, al 
gorithm="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 $182$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^(1/2),x, al 
gorithm="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 $183$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(7/2)/(a+I*a*tan(d*x+c))^(1/2),x, al 
gorithm="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 $184$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, al 
gorithm="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 TypeWarning, need 
 to choos
 

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 $185$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, al 
gorithm="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 TypeWarning, need 
 to choos
 

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 $186$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(3/2),x, al 
gorithm="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 $187$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^(3/2),x, al 
gorithm="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 $188$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^(3/2),x, al 
gorithm="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 $189$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, al 
gorithm="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 TypeWarning, need 
 to choos
 

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 $190$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, al 
gorithm="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 TypeWarning, need 
 to choos
 

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 $191$

Giac [F(-2)]

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

integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, al 
gorithm="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 TypeWarning, need 
 to choos
 

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 $192$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(5/2),x, al 
gorithm="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 $193$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^(5/2),x, al 
gorithm="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 $194$

Giac [F(-2)]

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

integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^(5/2),x, al 
gorithm="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 $195$

Giac [F(-2)]

Exception generated. $$\int {\tan }^m(c+dx)(a+ia\tan (c+dx){)}^4(A+B\tan (c+dx))dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm= 
"giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,1,0]%%%} / %%%{1,[0,0,4]%%%} Error: Bad Argument Value
 

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 $204$

Giac [F(-2)]

Exception generated. $$\int {\tan }^m(c+dx)(a+ia\tan (c+dx){)}^3(A+B\tan (c+dx))dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm= 
"giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,1,0]%%%} / %%%{1,[0,0,3]%%%} Error: Bad Argument Value
 

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 $205$

Giac [F(-2)]

Exception generated. $$\int {\tan }^m(c+dx)(a+ia\tan (c+dx){)}^2(A+B\tan (c+dx))dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm= 
"giac")
 

Output:

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

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 $206$

Giac [F(-2)]

Exception generated. $$\int {\tan }^m(c+dx)(a+ia\tan (c+dx))(A+B\tan (c+dx))dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm="g 
iac")
 

Output:

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

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 $207$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^m(c+dx)(A+B\tan (c+dx))}{a+ia\tan (c+dx)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm="g 
iac")
 

Output:

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

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 $208$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^m(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm= 
"giac")
 

Output:

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

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 $209$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^m(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm= 
"giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,1,0]%%%} / %%%{1,[0,0,3]%%%} Error: Bad Argument Value
 

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 $210$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^m(c+dx)(A+B\tan (c+dx))}{(a+ia\tan (c+dx){)}^4}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm= 
"giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,1,0]%%%} / %%%{1,[0,0,4]%%%} Error: Bad Argument Value
 

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 $211$

Giac [F(-2)]

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

integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algori 
thm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument 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 $212$

Giac [F(-2)]

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

integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algori 
thm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument 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 $213$

Giac [F(-2)]

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

integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algori 
thm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error: Bad Argument 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 $214$

Giac [F(-2)]

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

integrate(tan(d*x+c)^3*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $317$

Giac [F(-2)]

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

integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $318$

Giac [F(-2)]

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

integrate(tan(d*x+c)*(a+b*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: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 $319$

Giac [F(-2)]

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

integrate((a+b*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: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 $320$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $321$

Giac [F(-2)]

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

integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $322$

Giac [F(-2)]

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

integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $323$

Giac [F(-2)]

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

integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $324$

Giac [F(-2)]

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

integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $325$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $326$

Giac [F(-2)]

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

integrate((a+b*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: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 $327$

Giac [F(-2)]

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

integrate(cot(d*x+c)*(a+b*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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,13,4]%%%}+%%%{6,[0,11,4]%%%}+%%%{15,[0,9,4]%%%}+% 
%%{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 $328$

Giac [F(-2)]

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

integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $329$

Giac [F(-2)]

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

integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $330$

Giac [F(-2)]

Exception generated. $$\int {\cot }^4(c+dx)(a+b\tan (c+dx){)}^{3/2}(A+B\tan (c+dx))dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $331$

Giac [F(-2)]

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

integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorith 
m="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,[0,29,11]%%%}+%%%{12,[0,27,11]%%%}+%%%{66,[0,25,11]% 
%%}+%%%{2
 

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 $332$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $333$

Giac [F(-2)]

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

integrate((a+b*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: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/218_4.3.3.1

Test file number $218$

Integral number in file $334$

Giac [F(-2)]

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

integrate(cot(d*x+c)*(a+b*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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,18,6]%%%}+%%%{8,[0,16,6]%%%}+%%%{28,[0,14,6]%%%}+ 
%%%{56,[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 $335$

Giac [F(-2)]

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

integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorith 
m="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,[0,17,7]%%%}+%%%{8,[0,15,7]%%%}+%%%{28,[0,13,7]%%%}+ 
%%%{56,[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 $336$

Giac [F(-2)]

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

integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $337$

Giac [F(-2)]

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

integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $338$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $339$

Giac [F(-2)]

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

integrate((-a+b*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,[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/218_4.3.3.1

Test file number $218$

Integral number in file $340$

Giac [F(-2)]

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

integrate((-a+b*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,[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 $341$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $342$

Giac [F(-2)]

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

integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $343$

Giac [F(-2)]

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

integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorith 
m="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 $344$

Giac [F(-2)]

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

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(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/218_4.3.3.1

Test file number $218$

Integral number in file $345$

Giac [F(-2)]

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

integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(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:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.Non regula 
r value [
 

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 $347$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.Non regula 
r value [
 

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 $348$

Giac [F(-2)]

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

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(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 $352$

Giac [F(-2)]

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

integrate((A+B*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/218_4.3.3.1

Test file number $218$

Integral number in file $353$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $354$

Giac [F(-2)]

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

integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $355$

Giac [F(-2)]

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

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorith 
m="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/218_4.3.3.1

Test file number $218$

Integral number in file $356$

Giac [F(-2)]

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

integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorith 
m="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 $359$

Giac [F(-2)]

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

integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(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/218_4.3.3.1

Test file number $218$

Integral number in file $360$

Giac [F(-2)]

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

integrate((A+B*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/218_4.3.3.1

Test file number $218$

Integral number in file $361$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $362$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $363$

Giac [F(-2)]

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

integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorith 
m="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,[10,26,8]%%%}+%%%{12,[10,24,8]%%%}+%%%{66,[10,22,8]% 
%%}+%%%{2
 

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 $364$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.Non regula 
r value [
 

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 $367$

Giac [F(-2)]

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

integrate((B*a+b*B*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,[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 $368$

Giac [F(-2)]

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

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

Test file number $218$

Integral number in file $369$

Giac [F(-2)]

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

integrate((-a+b*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/218_4.3.3.1

Test file number $218$

Integral number in file $371$

Giac [F(-2)]

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

integrate((-a+b*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/218_4.3.3.1

Test file number $218$

Integral number in file $372$