Integrand size = 13, antiderivative size = 13 \[ \int \frac {e^x}{e^x+x^2} \, dx=\text {Int}\left (\frac {e^x}{e^x+x^2},x\right ) \]
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Not integrable
Time = 0.03 (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 = {} \[ \int \frac {e^x}{e^x+x^2} \, dx=\int \frac {e^x}{e^x+x^2} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {e^x}{e^x+x^2} \, dx \\ \end{align*}
Not integrable
Time = 0.05 (sec) , antiderivative size = 15, normalized size of antiderivative = 1.15 \[ \int \frac {e^x}{e^x+x^2} \, dx=\int \frac {e^x}{e^x+x^2} \, dx \]
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Not integrable
Time = 0.00 (sec) , antiderivative size = 11, normalized size of antiderivative = 0.85
\[\int \frac {{\mathrm e}^{x}}{{\mathrm e}^{x}+x^{2}}d x\]
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Not integrable
Time = 0.32 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00 \[ \int \frac {e^x}{e^x+x^2} \, dx=\int { \frac {e^{x}}{x^{2} + e^{x}} \,d x } \]
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Not integrable
Time = 0.22 (sec) , antiderivative size = 10, normalized size of antiderivative = 0.77 \[ \int \frac {e^x}{e^x+x^2} \, dx=\int \frac {e^{x}}{x^{2} + e^{x}}\, dx \]
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Not integrable
Time = 0.22 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.38 \[ \int \frac {e^x}{e^x+x^2} \, dx=\int { \frac {e^{x}}{x^{2} + e^{x}} \,d x } \]
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Not integrable
Time = 0.29 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00 \[ \int \frac {e^x}{e^x+x^2} \, dx=\int { \frac {e^{x}}{x^{2} + e^{x}} \,d x } \]
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Not integrable
Time = 0.29 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00 \[ \int \frac {e^x}{e^x+x^2} \, dx=\int \frac {{\mathrm {e}}^x}{{\mathrm {e}}^x+x^2} \,d x \]
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