Integrand size = 11, antiderivative size = 11 \[ \int \frac {e^x}{e^x+x} \, dx=\text {Int}\left (\frac {e^x}{e^x+x},x\right ) \]
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Not integrable
Time = 0.03 (sec) , antiderivative size = 11, 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 = {} \[ \int \frac {e^x}{e^x+x} \, dx=\int \frac {e^x}{e^x+x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {e^x}{e^x+x} \, dx \\ \end{align*}
Not integrable
Time = 0.01 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.18 \[ \int \frac {e^x}{e^x+x} \, dx=\int \frac {e^x}{e^x+x} \, dx \]
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Not integrable
Time = 0.00 (sec) , antiderivative size = 9, normalized size of antiderivative = 0.82
\[\int \frac {{\mathrm e}^{x}}{{\mathrm e}^{x}+x}d x\]
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Not integrable
Time = 0.35 (sec) , antiderivative size = 11, normalized size of antiderivative = 1.00 \[ \int \frac {e^x}{e^x+x} \, dx=\int { \frac {e^{x}}{x + e^{x}} \,d x } \]
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Not integrable
Time = 0.21 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.73 \[ \int \frac {e^x}{e^x+x} \, dx=\int \frac {e^{x}}{x + e^{x}}\, dx \]
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Not integrable
Time = 0.22 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.27 \[ \int \frac {e^x}{e^x+x} \, dx=\int { \frac {e^{x}}{x + e^{x}} \,d x } \]
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Not integrable
Time = 0.30 (sec) , antiderivative size = 11, normalized size of antiderivative = 1.00 \[ \int \frac {e^x}{e^x+x} \, dx=\int { \frac {e^{x}}{x + e^{x}} \,d x } \]
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Not integrable
Time = 0.21 (sec) , antiderivative size = 11, normalized size of antiderivative = 1.00 \[ \int \frac {e^x}{e^x+x} \, dx=\int \frac {{\mathrm {e}}^x}{x+{\mathrm {e}}^x} \,d x \]
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