Integrand size = 13, antiderivative size = 13 \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\text {Int}\left (\frac {x^2}{\sqrt {e^x+x}},x\right ) \]
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Not integrable
Time = 0.05 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\int \frac {x^2}{\sqrt {e^x+x}} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {x^2}{\sqrt {e^x+x}} \, dx \\ \end{align*}
Not integrable
Time = 0.06 (sec) , antiderivative size = 15, normalized size of antiderivative = 1.15 \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\int \frac {x^2}{\sqrt {e^x+x}} \, dx \]
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Not integrable
Time = 0.00 (sec) , antiderivative size = 10, normalized size of antiderivative = 0.77
\[\int \frac {x^{2}}{\sqrt {{\mathrm e}^{x}+x}}d x\]
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Exception generated. \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\text {Exception raised: TypeError} \]
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Not integrable
Time = 0.24 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.92 \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\int \frac {x^{2}}{\sqrt {x + e^{x}}}\, dx \]
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Not integrable
Time = 0.24 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.92 \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\int { \frac {x^{2}}{\sqrt {x + e^{x}}} \,d x } \]
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Not integrable
Time = 0.33 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.92 \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\int { \frac {x^{2}}{\sqrt {x + e^{x}}} \,d x } \]
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Not integrable
Time = 0.24 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.92 \[ \int \frac {x^2}{\sqrt {e^x+x}} \, dx=\int \frac {x^2}{\sqrt {x+{\mathrm {e}}^x}} \,d x \]
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