Integrals 2901 to 3000

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(226\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(227\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(228\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(229\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(230\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(231\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(232\)

Giac [F(-2)]

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

integrate(tan(d*x+c)^(4/3)*(a+I*a*tan(d*x+c))^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(248\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(249\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt [3]{\tan (c+d x)} \sqrt {a+i a \tan (c+d x)} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(250\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(251\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(252\)

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(4/3),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(253\)

Giac [F(-2)]

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

integrate(tan(d*x+c)^(4/3)*(a+I*a*tan(d*x+c))^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(254\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
                                                                                    
                                                                                    
 

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

Test file number \(217\)

Integral number in file \(255\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(256\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(257\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(258\)

Giac [F(-2)]

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

integrate((a+I*a*tan(d*x+c))^(3/2)/tan(d*x+c)^(4/3),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(259\)

Giac [F(-2)]

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

integrate(tan(d*x+c)^(4/3)/(a+I*a*tan(d*x+c))^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(260\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(261\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(262\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDegree mismat 
ch inside
 

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

Test file number \(217\)

Integral number in file \(263\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDegree mismat 
ch inside
 

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

Test file number \(217\)

Integral number in file \(264\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\tan ^{\frac {4}{3}}(c+d x) \sqrt {a+i a \tan (c+d x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/tan(d*x+c)^(4/3)/(a+I*a*tan(d*x+c))^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDegree mismat 
ch inside
 

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

Test file number \(217\)

Integral number in file \(265\)

Giac [F(-2)]

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

integrate(tan(d*x+c)^(4/3)/(a+I*a*tan(d*x+c))^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(266\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(267\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDone
 

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

Test file number \(217\)

Integral number in file \(268\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDegree mismat 
ch inside
 

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

Test file number \(217\)

Integral number in file \(269\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDegree mismat 
ch inside
 

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

Test file number \(217\)

Integral number in file \(270\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\tan ^{\frac {4}{3}}(c+d x) (a+i a \tan (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/tan(d*x+c)^(4/3)/(a+I*a*tan(d*x+c))^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionUnable to transpose Error: Bad Argument ValueDegree mismat 
ch inside
 

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

Test file number \(217\)

Integral number in file \(271\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^n*(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/217_4.3.2.1

Test file number \(217\)

Integral number in file \(320\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^n*(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 TypeDone
 

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

Test file number \(217\)

Integral number in file \(321\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^n/(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 TypeDone
 

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

Test file number \(217\)

Integral number in file \(322\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^n/(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 TypeDone
 

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

Test file number \(217\)

Integral number in file \(323\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(5/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[5,19]%%%}+%%%{8,[5,17]%%%}+%%%{28,[5,15]%%%}+%%%{56 
,[5,13]%%
                                                                                    
                                                                                    
 

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

Test file number \(217\)

Integral number in file \(336\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(3/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[4,14]%%%}+%%%{6,[4,12]%%%}+%%%{15,[4,10]%%%}+%%%{20 
,[4,8]%%%
 

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

Test file number \(217\)

Integral number in file \(337\)

Giac [F(-2)]

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

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

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

Test file number \(217\)

Integral number in file \(338\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(5/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[6,24]%%%}+%%%{10,[6,22]%%%}+%%%{45,[6,20]%%%}+%%%{1 
20,[6,18]
 

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

Test file number \(217\)

Integral number in file \(343\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(3/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[5,19]%%%}+%%%{8,[5,17]%%%}+%%%{28,[5,15]%%%}+%%%{56 
,[5,13]%%
 

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

Test file number \(217\)

Integral number in file \(344\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(1/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[4,14]%%%}+%%%{6,[4,12]%%%}+%%%{15,[4,10]%%%}+%%%{20 
,[4,8]%%%
 

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

Test file number \(217\)

Integral number in file \(345\)

Giac [F(-2)]

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

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

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

Test file number \(217\)

Integral number in file \(346\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(7/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[8,34]%%%}+%%%{14,[8,32]%%%}+%%%{91,[8,30]%%%}+%%%{3 
64,[8,28]
 

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

Test file number \(217\)

Integral number in file \(349\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(5/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[7,29]%%%}+%%%{12,[7,27]%%%}+%%%{66,[7,25]%%%}+%%%{2 
20,[7,23]
 

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

Test file number \(217\)

Integral number in file \(350\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(3/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[6,24]%%%}+%%%{10,[6,22]%%%}+%%%{45,[6,20]%%%}+%%%{1 
20,[6,18]
 

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

Test file number \(217\)

Integral number in file \(351\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(1/2)*(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[5,19]%%%}+%%%{8,[5,17]%%%}+%%%{28,[5,15]%%%}+%%%{56 
,[5,13]%%
 

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

Test file number \(217\)

Integral number in file \(352\)

Giac [F(-2)]

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

integrate((a+a*tan(f*x+e))^3/(d*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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[4,14]%%%}+%%%{6,[4,12]%%%}+%%%{15,[4,10]%%%}+%%%{20 
,[4,8]%%%
 

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

Test file number \(217\)

Integral number in file \(353\)

Giac [F(-2)]

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

integrate((a+a*tan(f*x+e))^3/(d*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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(354\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(5/2)/(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[4,13]%%%}+%%%{6,[4,11]%%%}+%%%{15,[4,9]%%%}+%%%{20, 
[4,7]%%%}
 

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

Test file number \(217\)

Integral number in file \(358\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(3/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(359\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(1/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(360\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(5/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(364\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(3/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(365\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(1/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(366\)

Giac [F(-2)]

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

integrate(1/(d*tan(f*x+e))^(3/2)/(a+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 Type
 

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

Test file number \(217\)

Integral number in file \(368\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(d \tan (e+f x))^{9/2}}{(a+a \tan (e+f x))^3} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*tan(f*x+e))^(9/2)/(a+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[6,21]%%%}+%%%{10,[6,19]%%%}+%%%{45,[6,17]%%%}+%%%{1 
20,[6,15]
 

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

Test file number \(217\)

Integral number in file \(370\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(7/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
                                                                                    
                                                                                    
 

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

Test file number \(217\)

Integral number in file \(371\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(5/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(372\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(3/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(373\)

Giac [F(-2)]

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

integrate((d*tan(f*x+e))^(1/2)/(a+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(374\)

Giac [F(-2)]

Exception generated. \[ \int \tan ^5(e+f x) \sqrt {1+\tan (e+f x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(f*x+e)^5*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[29]%%%}+%%%{12,[27]%%%}+%%%{66,[25]%%%}+%%%{220,[23 
]%%%}+%%%
 

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

Test file number \(217\)

Integral number in file \(378\)

Giac [F(-2)]

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

integrate(tan(f*x+e)^3*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[19]%%%}+%%%{8,[17]%%%}+%%%{28,[15]%%%}+%%%{56,[13]% 
%%}+%%%{7
 

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

Test file number \(217\)

Integral number in file \(379\)

Giac [F(-2)]

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

integrate(tan(f*x+e)*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[9]%%%}+%%%{4,[7]%%%}+%%%{6,[5]%%%}+%%%{4,[3]%%%}+%% 
%{1,[1]%%
 

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

Test file number \(217\)

Integral number in file \(380\)

Giac [F(-2)]

Exception generated. \[ \int \tan ^4(e+f x) \sqrt {1+\tan (e+f x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(f*x+e)^4*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[24]%%%}+%%%{10,[22]%%%}+%%%{45,[20]%%%}+%%%{120,[18 
]%%%}+%%%
 

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

Test file number \(217\)

Integral number in file \(384\)

Giac [F(-2)]

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

integrate(tan(f*x+e)^2*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[14]%%%}+%%%{6,[12]%%%}+%%%{15,[10]%%%}+%%%{20,[8]%% 
%}+%%%{15
 

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

Test file number \(217\)

Integral number in file \(385\)

Giac [F(-2)]

Exception generated. \[ \int \tan ^5(e+f x) (1+\tan (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(f*x+e)^5*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[34]%%%}+%%%{14,[32]%%%}+%%%{91,[30]%%%}+%%%{364,[28 
]%%%}+%%%
 

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

Test file number \(217\)

Integral number in file \(389\)

Giac [F(-2)]

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

integrate(tan(f*x+e)^3*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[24]%%%}+%%%{10,[22]%%%}+%%%{45,[20]%%%}+%%%{120,[18 
]%%%}+%%%
 

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

Test file number \(217\)

Integral number in file \(390\)

Giac [F(-2)]

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

integrate(tan(f*x+e)*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[14]%%%}+%%%{6,[12]%%%}+%%%{15,[10]%%%}+%%%{20,[8]%% 
%}+%%%{15
 

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

Test file number \(217\)

Integral number in file \(391\)

Giac [F(-2)]

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

integrate(cot(f*x+e)*(1+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(392\)

Giac [F(-2)]

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

integrate(cot(f*x+e)^3*(1+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(393\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^5(e+f x) (1+\tan (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(cot(f*x+e)^5*(1+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(394\)

Giac [F(-2)]

Exception generated. \[ \int \tan ^4(e+f x) (1+\tan (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(f*x+e)^4*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[29]%%%}+%%%{12,[27]%%%}+%%%{66,[25]%%%}+%%%{220,[23 
]%%%}+%%%
 

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

Test file number \(217\)

Integral number in file \(395\)

Giac [F(-2)]

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

integrate(tan(f*x+e)^2*(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[19]%%%}+%%%{8,[17]%%%}+%%%{28,[15]%%%}+%%%{56,[13]% 
%%}+%%%{7
 

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

Test file number \(217\)

Integral number in file \(396\)

Giac [F(-2)]

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

integrate((1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[9]%%%}+%%%{4,[7]%%%}+%%%{6,[5]%%%}+%%%{4,[3]%%%}+%% 
%{1,[1]%%
 

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

Test file number \(217\)

Integral number in file \(397\)

Giac [F(-2)]

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

integrate(cot(f*x+e)^2*(1+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(398\)

Giac [F(-2)]

Exception generated. \[ \int \cot ^4(e+f x) (1+\tan (e+f x))^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(cot(f*x+e)^4*(1+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:sym2poly/r2sym(const gen & e,const 
index_m & i,const vecteur & l) Error: Bad Argument Value
 

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

Test file number \(217\)

Integral number in file \(399\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^5(e+f x)}{\sqrt {1+\tan (e+f x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(f*x+e)^5/(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[24]%%%}+%%%{10,[22]%%%}+%%%{45,[20]%%%}+%%%{120,[18 
]%%%}+%%%
 

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

Test file number \(217\)

Integral number in file \(400\)

Giac [F(-2)]

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

integrate(tan(f*x+e)^3/(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[14]%%%}+%%%{6,[12]%%%}+%%%{15,[10]%%%}+%%%{20,[8]%% 
%}+%%%{15
                                                                                    
                                                                                    
 

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

Test file number \(217\)

Integral number in file \(401\)

Giac [F(-2)]

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

integrate(tan(f*x+e)/(1+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: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/217_4.3.2.1

Test file number \(217\)

Integral number in file \(402\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\tan ^4(e+f x)}{\sqrt {1+\tan (e+f x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(tan(f*x+e)^4/(1+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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[19]%%%}+%%%{8,[17]%%%}+%%%{28,[15]%%%}+%%%{56,[13]% 
%%}+%%%{7
 

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

Test file number \(217\)

Integral number in file \(406\)

Giac [F(-2)]

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

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

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

Test file number \(217\)

Integral number in file \(407\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

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

Test file number \(217\)

Integral number in file \(503\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(504\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,14,5]%%%}+%%%{6,[0,12,5]%%%}+%%%{15,[0,10,5]%%%}+ 
%%%{20,[0
 

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

Test file number \(217\)

Integral number in file \(505\)

Giac [F(-2)]

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

integrate(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/217_4.3.2.1

Test file number \(217\)

Integral number in file \(506\)

Giac [F(-2)]

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

integrate(tan(d*x+c)^4*(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,[0,29,11]%%%}+%%%{12,[0,27,11]%%%}+%%%{66,[0,25,11]% 
%%}+%%%{2
 

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

Test file number \(217\)

Integral number in file \(511\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

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

Test file number \(217\)

Integral number in file \(512\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(513\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,14,5]%%%}+%%%{6,[0,12,5]%%%}+%%%{15,[0,10,5]%%%}+ 
%%%{20,[0
 

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

Test file number \(217\)

Integral number in file \(514\)

Giac [F(-2)]

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

integrate((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,[0,9,3]%%%}+%%%{4,[0,7,3]%%%}+%%%{6,[0,5,3]%%%}+%%%{ 
4,[0,3,3]
 

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

Test file number \(217\)

Integral number in file \(515\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(516\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(517\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(518\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[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/217_4.3.2.1

Test file number \(217\)

Integral number in file \(519\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

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

Test file number \(217\)

Integral number in file \(520\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(521\)

Giac [F(-2)]

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

integrate((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,[0,14,5]%%%}+%%%{6,[0,12,5]%%%}+%%%{15,[0,10,5]%%%}+ 
%%%{20,[0
 

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

Test file number \(217\)

Integral number in file \(522\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[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/217_4.3.2.1

Test file number \(217\)

Integral number in file \(523\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(524\)

Giac [F(-2)]

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

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

Output:

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

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

Test file number \(217\)

Integral number in file \(525\)