Optimal. Leaf size=22 \[ \text{Unintegrable}\left (\frac{x}{a+b \sin \left (c+d (f+g x)^n\right )},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0183274, 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 = {} \[ \int \frac{x}{a+b \sin \left (c+d (f+g x)^n\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{x}{a+b \sin \left (c+d (f+g x)^n\right )} \, dx &=\int \frac{x}{a+b \sin \left (c+d (f+g x)^n\right )} \, dx\\ \end{align*}
Mathematica [A] time = 1.29552, size = 0, normalized size = 0. \[ \int \frac{x}{a+b \sin \left (c+d (f+g x)^n\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.073, size = 0, normalized size = 0. \begin{align*} \int{\frac{x}{a+b\sin \left ( c+d \left ( gx+f \right ) ^{n} \right ) }}\, 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{x}{b \sin \left ({\left (g x + f\right )}^{n} d + c\right ) + a}\,{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{x}{b \sin \left ({\left (g x + f\right )}^{n} d + c\right ) + a}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \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{x}{b \sin \left ({\left (g x + f\right )}^{n} d + c\right ) + a}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]