Optimal. Leaf size=26 \[ \text{CannotIntegrate}\left ((f x)^m \csc ^2(d+e x) F^{a c+b c x},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.951491, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int F^{c (a+b x)} (f x)^m \csc ^2(d+e x) \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int F^{c (a+b x)} (f x)^m \csc ^2(d+e x) \, dx &=\int F^{a c+b c x} (f x)^m \csc ^2(d+e x) \, dx\\ \end{align*}
Mathematica [A] time = 10.6327, size = 0, normalized size = 0. \[ \int F^{c (a+b x)} (f x)^m \csc ^2(d+e x) \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.071, size = 0, normalized size = 0. \begin{align*} \int{\frac{{F}^{c \left ( bx+a \right ) } \left ( fx \right ) ^{m}}{ \left ( \sin \left ( ex+d \right ) \right ) ^{2}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\left (f x\right )^{m} F^{{\left (b x + a\right )} c}}{\sin \left (e x + d\right )^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (-\frac{\left (f x\right )^{m} F^{b c x + a c}}{\cos \left (e x + d\right )^{2} - 1}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{F^{c \left (a + b x\right )} \left (f x\right )^{m}}{\sin ^{2}{\left (d + e x \right )}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\left (f x\right )^{m} F^{{\left (b x + a\right )} c}}{\sin \left (e x + d\right )^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]