Integrals 401 to 500

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(38\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(39\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(40\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(41\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(42\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(43\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(44\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(56\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(63\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(69\)

Sympy [F(-2)]

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

[In]

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)),x)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(75\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(76\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(81\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(82\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(84\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(85\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(86\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(87\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: NotImplementedError >> no valid subset found

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(88\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(164\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.3_Tangent/4.3.4.2-a+b_tan-^m-c+d_tan-^n-A+B_tan+C_tan^2-.txt

Test file number \(105\)

Integral number in file \(170\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.4_Cotangent/4.4.2.1-a+b_cot-^m-c+d_cot-^n.txt

Test file number \(112\)

Integral number in file \(94\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.1-c_trig-^m-d_trig-^n.txt

Test file number \(135\)

Integral number in file \(214\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.1-c_trig-^m-d_trig-^n.txt

Test file number \(135\)

Integral number in file \(215\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.1-c_trig-^m-d_trig-^n.txt

Test file number \(135\)

Integral number in file \(242\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.1-c_trig-^m-d_trig-^n.txt

Test file number \(135\)

Integral number in file \(243\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(16\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(17\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(22\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {1}{(a \cos (x)+b \sin (x))^3} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(1/(a*cos(x)+b*sin(x))**3,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(25\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(125\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(132\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(284\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(22\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(45\)

Sympy [F(-2)]

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

[In]

integrate((d*x+c)**m*cos(b*x+a)**2*sin(b*x+a)**2,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(79\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(88\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(136\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(145\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(154\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(221\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(225\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(226\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(386\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(387\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(389\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(390\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(391\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(392\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(393\)

Sympy [F(-2)]

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

[In]

integrate((A+C*sin(x))/(b*cos(x)+c*sin(x))**2,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(350\)

Sympy [F(-2)]

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

[In]

integrate((A+B*cos(x))/(b*cos(x)+c*sin(x))**2,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(353\)

Sympy [F(-2)]

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

[In]

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)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(513\)

Sympy [F(-2)]

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

[In]

integrate((B*cos(x)+C*sin(x))/(b*cos(x)+c*sin(x))**2,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(530\)

Sympy [F(-2)]

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

[In]

integrate((A+B*cos(x)+C*sin(x))/(b*cos(x)+c*sin(x))**2,x)

[Out]

Exception raised: AttributeError >> 'NoneType' object has no attribute 'primitive'

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(533\)

Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(607\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c \tan (a+b x) \tan (2 (a+b x))}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(623\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(206\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(207\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(208\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(212\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(213\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(214\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(217\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(218\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.2-d_x-^m-a+b_arcsin-c_x-^n.txt

Test file number \(142\)

Integral number in file \(219\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsin-c_x-^n.txt

Test file number \(143\)

Integral number in file \(113\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.4-f_x-^m-d+e_x^2-^p-a+b_arcsin-c_x-^n.txt

Test file number \(143\)

Integral number in file \(238\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(44\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(45\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(46\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(70\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(71\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(72\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(285\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(295\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(301\)

Sympy [F(-2)]

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

[In]

integrate((a+b*asin(d*x+c))**4/(d*e*x+c*e)**(1/2),x)

[Out]

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

input file name 5_Inverse_trig_functions/5.1_Inverse_sine/5.1.5_Inverse_sine_functions.txt

Test file number \(144\)

Integral number in file \(305\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(206\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(207\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(208\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(212\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(213\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(214\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(217\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(218\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.2-d_x-^m-a+b_arccos-c_x-^n.txt

Test file number \(145\)

Integral number in file \(219\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(14\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(15\)

Sympy [F(-2)]

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

[In]

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

[Out]

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

input file name 5_Inverse_trig_functions/5.2_Inverse_cosine/5.2.5_Inverse_cosine_functions.txt

Test file number \(147\)

Integral number in file \(16\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x (d+i c d x)^3} \, dx=\text {Exception raised: RecursionError} \]

[In]

integrate((a+b*atan(c*x))/x/(d+I*c*d*x)**3,x)

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded in comparison

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(63\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x))^2}{x (d+i c d x)^3} \, dx=\text {Exception raised: RecursionError} \]

[In]

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

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded in comparison

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(116\)

Sympy [F(-2)]

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

[In]

integrate((d+I*c*d*x)*(a+b*atan(c*x))**3,x)

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(122\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)}{\left (c+a^2 c x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \]

[In]

integrate(atan(a*x)/(a**2*c*x**2+c)**2,x)

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded while calling a Python object

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(187\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)}{x \left (c+a^2 c x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \]

[In]

integrate(atan(a*x)/x/(a**2*c*x**2+c)**2,x)

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(188\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)}{\left (c+a^2 c x^2\right )^3} \, dx=\text {Exception raised: RecursionError} \]

[In]

integrate(atan(a*x)/(a**2*c*x**2+c)**3,x)

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded in comparison

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(195\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)}{x \left (c+a^2 c x^2\right )^3} \, dx=\text {Exception raised: RecursionError} \]

[In]

integrate(atan(a*x)/x/(a**2*c*x**2+c)**3,x)

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(196\)

Sympy [F(-2)]

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

[In]

integrate(x*atan(a*x)/(a**2*c*x**2+c)**(1/2),x)

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(226\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {x \arctan (a x)}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*atan(a*x)/(a**2*c*x**2+c)**(3/2),x)

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(234\)

Sympy [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)}{x \left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(atan(a*x)/x/(a**2*c*x**2+c)**(3/2),x)

[Out]

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

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.4_u-a+b_arctan-c_x-^p.txt

Test file number \(150\)

Integral number in file \(236\)