Integrals 601 to 700

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^3 (c+d \tan (e+f x))} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(a+b*tan(f*x+e))**3/(c+d*tan(f* 
x+e)),x)
 

Output:

Exception raised: NotImplementedError >> no valid subset found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(76\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x)) (c+d \tan (e+f x))^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(a+b*tan(f*x+e))/(c+d*tan(f*x+e 
))**2,x)
 

Output:

Exception raised: NotImplementedError >> no valid subset found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(81\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 (c+d \tan (e+f x))^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(a+b*tan(f*x+e))**2/(c+d*tan(f* 
x+e))**2,x)
 

Output:

Exception raised: NotImplementedError >> no valid subset found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(82\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^3 (c+d \tan (e+f x))^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(a+b*tan(f*x+e))**3/(c+d*tan(f* 
x+e))**2,x)
 

Output:

Exception raised: NotImplementedError >> no valid subset found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(83\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \tan (e+f x))^3 \left (A+B \tan (e+f x)+C \tan ^2(e+f x)\right )}{(c+d \tan (e+f x))^3} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((a+b*tan(f*x+e))**3*(A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(c+d*tan(f* 
x+e))**3,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(84\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \tan (e+f x))^2 \left (A+B \tan (e+f x)+C \tan ^2(e+f x)\right )}{(c+d \tan (e+f x))^3} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((a+b*tan(f*x+e))**2*(A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(c+d*tan(f* 
x+e))**3,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(85\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \tan (e+f x)) \left (A+B \tan (e+f x)+C \tan ^2(e+f x)\right )}{(c+d \tan (e+f x))^3} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(c+d*tan(f*x+e 
))**3,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(86\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(c+d \tan (e+f x))^3} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(c+d*tan(f*x+e))**3,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(87\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x)) (c+d \tan (e+f x))^3} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(a+b*tan(f*x+e))/(c+d*tan(f*x+e 
))**3,x)
 

Output:

Exception raised: NotImplementedError >> no valid subset found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(88\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \tan (e+f x)+C \tan ^2(e+f x)}{(a+b \tan (e+f x))^2 (c+d \tan (e+f x))^3} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(a+b*tan(f*x+e))**2/(c+d*tan(f* 
x+e))**3,x)
 

Output:

Exception raised: NotImplementedError >> no valid subset found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(89\)

Sympy [F(-2)]

Exception generated. \[ \int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^n \left (A+B \tan (e+f x)+C \tan ^2(e+f x)\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate((a+b*tan(f*x+e))**m*(c+d*tan(f*x+e))**n*(A+B*tan(f*x+e)+C*tan(f* 
x+e)**2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(164\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \tan (e+f x))^m \left (A+B \tan (e+f x)+C \tan ^2(e+f x)\right )}{(c+d \tan (e+f x))^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate((a+b*tan(f*x+e))**m*(A+B*tan(f*x+e)+C*tan(f*x+e)**2)/(c+d*tan(f* 
x+e))**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number \(219\)

Integral number in file \(170\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {A+B \cot (c+d x)}{(a+b \cot (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((A+B*cot(d*x+c))/(a+b*cot(d*x+c))**3,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(94\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {a+b \tan (d+e x)}{\left (b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)\right )^2} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((a+b*tan(e*x+d))/(b**2+2*a*b*tan(e*x+d)+a**2*tan(e*x+d)**2)**2,x 
)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(456\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\sin ^2(x)}{(a \cos (x)+b \sin (x))^2} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate(sin(x)**2/(a*cos(x)+b*sin(x))**2,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/255_4.1

Test file number \(255\)

Integral number in file \(16\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\sin ^3(x)}{(a \cos (x)+b \sin (x))^3} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate(sin(x)**3/(a*cos(x)+b*sin(x))**3,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/255_4.1

Test file number \(255\)

Integral number in file \(22\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\cos ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate(cos(d*x+c)**3/(a*cos(d*x+c)+b*sin(d*x+c))**3,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/255_4.1

Test file number \(255\)

Integral number in file \(132\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\cos (x) \sin (x)}{(a \cos (x)+b \sin (x))^2} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate(cos(x)*sin(x)/(a*cos(x)+b*sin(x))**2,x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'pr 
imitive'
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/255_4.1

Test file number \(255\)

Integral number in file \(284\)

Sympy [F(-2)]

Exception generated. \[ \int \sec ^3(c+b x) \sin (a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+c)**3*sin(b*x+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(151\)

Sympy [F(-2)]

Exception generated. \[ \int \sec ^2(c+b x) \sin ^2(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+c)**2*sin(b*x+a)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(159\)

Sympy [F(-2)]

Exception generated. \[ \int \sec ^2(c+b x) \sin ^3(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+c)**2*sin(b*x+a)**3,x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(165\)

Sympy [F(-2)]

Exception generated. \[ \int \sec ^3(c+b x) \sin (a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+c)**3*sin(b*x+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(263\)

Sympy [F(-2)]

Exception generated. \[ \int \sec ^3(c-b x) \sin (a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x-c)**3*sin(b*x+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(267\)

Sympy [F(-2)]

Exception generated. \[ \int \sec ^2(c+b x) \sin ^2(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+c)**2*sin(b*x+a)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(270\)

Sympy [F(-2)]

Exception generated. \[ \int \sec ^2(c-b x) \sin ^2(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x-c)**2*sin(b*x+a)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(274\)

Sympy [F(-2)]

Exception generated. \[ \int \cos (a+b x) \sec ^3(c+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)*sec(b*x+c)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(300\)

Sympy [F(-2)]

Exception generated. \[ \int \cos ^2(a+b x) \sec ^2(c+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)**2*sec(b*x+c)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(308\)

Sympy [F(-2)]

Exception generated. \[ \int \cos ^3(a+b x) \sec ^2(c+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)**3*sec(b*x+c)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(315\)

Sympy [F(-2)]

Exception generated. \[ \int \cos (a+b x) \sec ^3(c+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)*sec(b*x+c)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(373\)

Sympy [F(-2)]

Exception generated. \[ \int \cos (a+b x) \sec ^3(c-b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)*sec(b*x-c)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(377\)

Sympy [F(-2)]

Exception generated. \[ \int \cos ^2(a+b x) \sec ^2(c+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)**2*sec(b*x+c)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(380\)

Sympy [F(-2)]

Exception generated. \[ \int \cos ^2(a+b x) \sec ^2(c-b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)**2*sec(b*x-c)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(384\)

Sympy [F(-2)]

Exception generated. \[ \int \csc (2 a+2 b x) \sin (a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(csc(2*b*x+2*a)*sin(b*x+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(418\)

Sympy [F(-2)]

Exception generated. \[ \int \csc (2 a+2 b x) \sin ^2(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(csc(2*b*x+2*a)*sin(b*x+a)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(428\)

Sympy [F(-2)]

Exception generated. \[ \int \csc (2 a+2 b x) \sin ^3(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(csc(2*b*x+2*a)*sin(b*x+a)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(438\)

Sympy [F(-2)]

Exception generated. \[ \int \cos (a+b x) \csc (2 a+2 b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)*csc(2*b*x+2*a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(545\)

Sympy [F(-2)]

Exception generated. \[ \int \cos ^2(a+b x) \csc (2 a+2 b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)**2*csc(2*b*x+2*a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(555\)

Sympy [F(-2)]

Exception generated. \[ \int \cos ^3(a+b x) \csc (2 a+2 b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(cos(b*x+a)**3*csc(2*b*x+2*a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(565\)

Sympy [F(-2)]

Exception generated. \[ \int (c+d x)^m \cos (a+b x) \sin ^3(a+b x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate((d*x+c)**m*cos(b*x+a)*sin(b*x+a)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(22\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\sec (a+b x) \sin (3 a+3 b x)}{c+d x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+a)*sin(3*b*x+3*a)/(d*x+c),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(386\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\sec (a+b x) \sin (3 a+3 b x)}{(c+d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+a)*sin(3*b*x+3*a)/(d*x+c)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(387\)

Sympy [F(-2)]

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

integrate((d*x+c)*sec(b*x+a)**2*sin(3*b*x+3*a),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(391\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\sec ^2(a+b x) \sin (3 a+3 b x)}{c+d x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+a)**2*sin(3*b*x+3*a)/(d*x+c),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(392\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\sec ^2(a+b x) \sin (3 a+3 b x)}{(c+d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(sec(b*x+a)**2*sin(3*b*x+3*a)/(d*x+c)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(393\)

Sympy [F(-2)]

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

integrate((a+b*asin(d*x+c))/(d*e*x+c*e)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(167\)

Sympy [F(-2)]

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

integrate((a+b*asin(d*x+c))**2/(d*e*x+c*e)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(174\)

Sympy [F(-2)]

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

integrate((a+b*asin(d*x+c))**3/(d*e*x+c*e)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(180\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))/(d*x)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(70\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))/(d*x)**(3/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(71\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))/(d*x)**(5/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(72\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))**2/(d*x)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(75\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))**2/(d*x)**(3/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(76\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))**2/(d*x)**(5/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(77\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))**3/(d*x)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(80\)

Sympy [F(-2)]

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

integrate((a+b*asin(c*x))**3/(d*x)**(3/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(81\)

Sympy [F(-2)]

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

integrate(x*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/266_5.1.4

Test file number \(266\)

Integral number in file \(111\)

Sympy [F(-2)]

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

integrate(x*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/266_5.1.4

Test file number \(266\)

Integral number in file \(235\)

Sympy [F(-2)]

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

integrate((g*x+f)**3*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(117\)

Sympy [F(-2)]

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

integrate((g*x+f)**2*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(118\)

Sympy [F(-2)]

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

integrate((g*x+f)*(a+b*asin(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(119\)

Sympy [F(-2)]

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

integrate((g*x+f)**3*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(143\)

Sympy [F(-2)]

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

integrate((g*x+f)**2*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(144\)

Sympy [F(-2)]

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

integrate((g*x+f)*(a+b*asin(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(145\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))/(d*x)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(206\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))/(d*x)**(3/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(207\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))/(d*x)**(5/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(208\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))**2/(d*x)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(212\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))**2/(d*x)**(3/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(213\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))**2/(d*x)**(5/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(214\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))**3/(d*x)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(217\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))**3/(d*x)**(3/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(218\)

Sympy [F(-2)]

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

integrate((a+b*acos(c*x))**3/(d*x)**(5/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(219\)

Sympy [F(-2)]

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

integrate(x*(a+b*acos(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(115\)

Sympy [F(-2)]

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

integrate(x*(a+b*acos(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(240\)

Sympy [F(-2)]

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

integrate((g*x+f)**3*(a+b*acos(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5

Test file number \(275\)

Integral number in file \(14\)

Sympy [F(-2)]

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

integrate((g*x+f)**2*(a+b*acos(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5

Test file number \(275\)

Integral number in file \(15\)

Sympy [F(-2)]

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

integrate((g*x+f)*(a+b*acos(c*x))/(-c**2*d*x**2+d)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real zoo
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5

Test file number \(275\)

Integral number in file \(16\)

Sympy [F(-2)]

Exception generated. \[ \int x^{-1+n} \arctan \left (a+b x^n\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \] Input:

integrate(x**(-1+n)*atan(a+b*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(2\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x**2*atan(c+(1+I*c)*tan(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) + 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(52\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x*atan(c+(1+I*c)*tan(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) + 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(53\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(atan(c+(1+I*c)*tan(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) + 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(54\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(-1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x**2*atan(c+(-1+I*c)*tan(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) + 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(56\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(-1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x*atan(c+(-1+I*c)*tan(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) + 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(57\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(-1+i c) \tan (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(atan(c+(-1+I*c)*tan(b*x+a)),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) + 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(58\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(-x**2*atan(-c-(1-I*c)*cot(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) - 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(65\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(-x*atan(-c-(1-I*c)*cot(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) - 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(66\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(-atan(-c-(1-I*c)*cot(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) - 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(67\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(-1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(-x**2*atan(-c-(-1-I*c)*cot(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) - 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(69\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(-1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(-x*atan(-c-(-1-I*c)*cot(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) - 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(70\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(-1-i c) \cot (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(-atan(-c-(-1-I*c)*cot(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2*exp(2*I*a) - 1 o 
f type <class 'sympy.core.add.Add'> to QQ_I[b,_t0,exp(I*a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(71\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x**2*atan(c+(I+c)*tanh(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(85\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x*atan(c+(I+c)*tanh(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(86\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(i+c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(atan(c+(I+c)*tanh(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(87\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x**2*atan(c-(I-c)*tanh(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(89\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x*atan(c-(I-c)*tanh(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(90\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c-(i-c) \tanh (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(atan(c-(I-c)*tanh(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 + exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(91\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x**2*atan(c+(I+c)*coth(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(102\)

Sympy [F(-2)]

Exception generated. \[ \int x \arctan (c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x*atan(c+(I+c)*coth(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(103\)

Sympy [F(-2)]

Exception generated. \[ \int \arctan (c+(i+c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(atan(c+(I+c)*coth(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[b,_t0,exp(a)]
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(104\)

Sympy [F(-2)]

Exception generated. \[ \int x^2 \arctan (c-(i-c) \coth (a+b x)) \, dx=\text {Exception raised: CoercionFailed} \] Input:

integrate(x**2*atan(c-(I-c)*coth(b*x+a)),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert _t0**2 - exp(2*a) of ty 
pe <class 'sympy.core.add.Add'> to QQ_I[x,b,_t0,exp(a)]
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(106\)