Optimal. Leaf size=15 \[ \text{CannotIntegrate}\left (\frac{x^2}{\sqrt{x+e^x}},x\right ) \]
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Rubi [A] time = 0.0572397, 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 = {} \[ \int \frac{x^2}{\sqrt{e^x+x}} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{x^2}{\sqrt{e^x+x}} \, dx &=\int \frac{x^2}{\sqrt{e^x+x}} \, dx\\ \end{align*}
Mathematica [A] time = 0.0483567, size = 0, normalized size = 0. \[ \int \frac{x^2}{\sqrt{e^x+x}} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.028, size = 0, normalized size = 0. \begin{align*} \int{{x}^{2}{\frac{1}{\sqrt{{{\rm e}^{x}}+x}}}}\, 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{x^{2}}{\sqrt{x + e^{x}}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: UnboundLocalError} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{x^{2}}{\sqrt{x + e^{x}}}\, dx \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{x^{2}}{\sqrt{x + e^{x}}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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