Integrand size = 9, antiderivative size = 9 \[ \int \frac {x}{e^x+x} \, dx=\text {Int}\left (\frac {x}{e^x+x},x\right ) \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 9, 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 = {} \[ \int \frac {x}{e^x+x} \, dx=\int \frac {x}{e^x+x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {x}{e^x+x} \, dx \\ \end{align*}
Not integrable
Time = 3.77 (sec) , antiderivative size = 11, normalized size of antiderivative = 1.22 \[ \int \frac {x}{e^x+x} \, dx=\int \frac {x}{e^x+x} \, dx \]
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Not integrable
Time = 0.00 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.89
\[\int \frac {x}{{\mathrm e}^{x}+x}d x\]
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Not integrable
Time = 0.34 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.11 \[ \int \frac {x}{e^x+x} \, dx=\int { \frac {x}{x + e^{x}} \,d x } \]
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Not integrable
Time = 0.20 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.78 \[ \int \frac {x}{e^x+x} \, dx=\int \frac {x}{x + e^{x}}\, dx \]
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Not integrable
Time = 0.22 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.11 \[ \int \frac {x}{e^x+x} \, dx=\int { \frac {x}{x + e^{x}} \,d x } \]
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Not integrable
Time = 0.31 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.11 \[ \int \frac {x}{e^x+x} \, dx=\int { \frac {x}{x + e^{x}} \,d x } \]
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Not integrable
Time = 0.26 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.11 \[ \int \frac {x}{e^x+x} \, dx=\int \frac {x}{x+{\mathrm {e}}^x} \,d x \]
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