Optimal. Leaf size=28 \[ \text{Unintegrable}\left (\frac{\left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n},x\right ) \]
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Rubi [A] time = 0.0112573, 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 = {} \[ \int \frac{\left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n} \, dx &=\int \frac{\left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n} \, dx\\ \end{align*}
Mathematica [A] time = 0.159444, size = 0, normalized size = 0. \[ \int \frac{\left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.085, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ( a+b{x}^{n}+c{x}^{2\,n} \right ) ^{p}}{d+e{x}^{n}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\left (c x^{2 \, n} + b x^{n} + a\right )}^{p}}{e x^{n} + d}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{{\left (c x^{2 \, n} + b x^{n} + a\right )}^{p}}{e x^{n} + d}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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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.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\left (c x^{2 \, n} + b x^{n} + a\right )}^{p}}{e x^{n} + d}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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