Optimal. Leaf size=11 \[ \frac{e^{x^2+1}}{2} \]
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Rubi [A] time = 0.008696, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111, Rules used = {2209} \[ \frac{e^{x^2+1}}{2} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin{align*} \int e^{1+x^2} x \, dx &=\frac{e^{1+x^2}}{2}\\ \end{align*}
Mathematica [A] time = 0.0015886, size = 11, normalized size = 1. \[ \frac{e^{x^2+1}}{2} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.019, size = 9, normalized size = 0.8 \begin{align*}{\frac{{{\rm e}^{{x}^{2}+1}}}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.968426, size = 11, normalized size = 1. \begin{align*} \frac{1}{2} \, e^{\left (x^{2} + 1\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0.86566, size = 23, normalized size = 2.09 \begin{align*} \frac{1}{2} \, e^{\left (x^{2} + 1\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.0847, size = 7, normalized size = 0.64 \begin{align*} \frac{e^{x^{2} + 1}}{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.26829, size = 11, normalized size = 1. \begin{align*} \frac{1}{2} \, e^{\left (x^{2} + 1\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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