Optimal. Leaf size=24 \[ \text{Unintegrable}\left (\frac{(e+f x)^2}{a+b \sin \left (c+\frac{d}{x}\right )},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0314051, 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 = {} \[ \int \frac{(e+f x)^2}{a+b \sin \left (c+\frac{d}{x}\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{(e+f x)^2}{a+b \sin \left (c+\frac{d}{x}\right )} \, dx &=\int \frac{(e+f x)^2}{a+b \sin \left (c+\frac{d}{x}\right )} \, dx\\ \end{align*}
Mathematica [A] time = 0.134575, size = 0, normalized size = 0. \[ \int \frac{(e+f x)^2}{a+b \sin \left (c+\frac{d}{x}\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int{ \left ( fx+e \right ) ^{2} \left ( a+b\sin \left ( c+{\frac{d}{x}} \right ) \right ) ^{-1}}\, 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 + e\right )}^{2}}{b \sin \left (c + \frac{d}{x}\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{f^{2} x^{2} + 2 \, e f x + e^{2}}{b \sin \left (\frac{c x + d}{x}\right ) + a}, 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{\left (e + f x\right )^{2}}{a + b \sin{\left (c + \frac{d}{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 + e\right )}^{2}}{b \sin \left (c + \frac{d}{x}\right ) + a}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]