Integrals 601 to 700

Sympy [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx){)}^3(c+d\tan (e+fx))}dx=\text{Exception raised: NotImplementedError}$$ 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. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx))(c+d\tan (e+fx){)}^2}dx=\text{Exception raised: NotImplementedError}$$ 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. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^2}dx=\text{Exception raised: NotImplementedError}$$ 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. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx){)}^3(c+d\tan (e+fx){)}^2}dx=\text{Exception raised: NotImplementedError}$$ 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. $$\int \frac{(a+b\tan (e+fx){)}^3(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(c+d\tan (e+fx){)}^3}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{(a+b\tan (e+fx){)}^2(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(c+d\tan (e+fx){)}^3}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{(a+b\tan (e+fx))(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(c+d\tan (e+fx){)}^3}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(c+d\tan (e+fx){)}^3}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx))(c+d\tan (e+fx){)}^3}dx=\text{Exception raised: NotImplementedError}$$ 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. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^3}dx=\text{Exception raised: NotImplementedError}$$ 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. $$\int (a+b\tan (e+fx){)}^m(c+d\tan (e+fx){)}^n(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \frac{(a+b\tan (e+fx){)}^m(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(c+d\tan (e+fx){)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \frac{A+B\cot (c+dx)}{(a+b\cot (c+dx){)}^3}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{a+b\tan (d+ex)}{{(b^2+2ab\tan (d+ex)+a^2{\tan }^2(d+ex))}^2}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{{\cos }^3(c+dx)}{(a\cos (c+dx)+b\sin (c+dx){)}^3}dx=\text{Exception raised: AttributeError}$$ 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. $$\int {\sec }^3(c+bx)\sin (a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\sec }^2(c+bx){\sin }^2(a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\sec }^2(c+bx){\sin }^3(a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\sec }^3(c+bx)\sin (a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\sec }^3(c-bx)\sin (a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\sec }^2(c+bx){\sin }^2(a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\sec }^2(c-bx){\sin }^2(a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \cos (a+bx){\sec }^3(c+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\cos }^2(a+bx){\sec }^2(c+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\cos }^3(a+bx){\sec }^2(c+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \cos (a+bx){\sec }^3(c+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \cos (a+bx){\sec }^3(c-bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\cos }^2(a+bx){\sec }^2(c+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\cos }^2(a+bx){\sec }^2(c-bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \csc (2a+2bx)\sin (a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \csc (2a+2bx){\sin }^2(a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \csc (2a+2bx){\sin }^3(a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \cos (a+bx)\csc (2a+2bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\cos }^2(a+bx)\csc (2a+2bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int {\cos }^3(a+bx)\csc (2a+2bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int (c+dx{)}^m\cos (a+bx){\sin }^3(a+bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \frac{\sec (a+bx)\sin (3a+3bx)}{c+dx}dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \frac{\sec (a+bx)\sin (3a+3bx)}{(c+dx{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int (c+dx){\sec }^2(a+bx)\sin (3a+3bx)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \frac{{\sec }^2(a+bx)\sin (3a+3bx)}{c+dx}dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \frac{{\sec }^2(a+bx)\sin (3a+3bx)}{(c+dx{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int \frac{a+b\arcsin (c+dx)}{\sqrt{ce+dex}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arcsin (c+dx){)}^2}{\sqrt{ce+dex}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arcsin (c+dx){)}^3}{\sqrt{ce+dex}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{a+b\arcsin (cx)}{\sqrt{dx}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{a+b\arcsin (cx)}{(dx{)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{a+b\arcsin (cx)}{(dx{)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arcsin (cx){)}^2}{\sqrt{dx}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arcsin (cx){)}^2}{(dx{)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arcsin (cx){)}^2}{(dx{)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arcsin (cx){)}^3}{\sqrt{dx}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arcsin (cx){)}^3}{(dx{)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x(a+b\arcsin (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x(a+b\arcsin (cx){)}^2}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx{)}^3(a+b\arcsin (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx{)}^2(a+b\arcsin (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx)(a+b\arcsin (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx{)}^3(a+b\arcsin (cx){)}^2}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx{)}^2(a+b\arcsin (cx){)}^2}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx)(a+b\arcsin (cx){)}^2}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{a+b\arccos (cx)}{\sqrt{dx}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{a+b\arccos (cx)}{(dx{)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{a+b\arccos (cx)}{(dx{)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{\sqrt{dx}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{(dx{)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{(dx{)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^3}{\sqrt{dx}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^3}{(dx{)}^{3/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^3}{(dx{)}^{5/2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x(a+b\arccos (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x(a+b\arccos (cx){)}^2}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx{)}^3(a+b\arccos (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx{)}^2(a+b\arccos (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(f+gx)(a+b\arccos (cx))}{\sqrt{d-c^{2}d{x}^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int x^{-1+n}\arctan (a+b{x}^n)dx=\text{Exception raised: HeuristicGCDFailed}$$ 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. $$\int x^2\arctan (c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x\arctan (c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int \arctan (c+(1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x^2\arctan (c+(-1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x\arctan (c+(-1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int \arctan (c+(-1+ic)\tan (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x^2\arctan (c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x\arctan (c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int \arctan (c+(1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x^2\arctan (c+(-1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x\arctan (c+(-1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int \arctan (c+(-1-ic)\cot (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x^2\arctan (c+(i+c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x\arctan (c+(i+c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int \arctan (c+(i+c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x^2\arctan (c-(i-c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x\arctan (c-(i-c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int \arctan (c-(i-c)\tanh (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x^2\arctan (c+(i+c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x\arctan (c+(i+c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int \arctan (c+(i+c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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. $$\int x^2\arctan (c-(i-c)\coth (a+bx))dx=\text{Exception raised: CoercionFailed}$$ 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 $106$