Optimal. Leaf size=9 \[ \frac{e^{x^2}}{2} \]
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Rubi [A] time = 0.0062455, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143, Rules used = {2209} \[ \frac{e^{x^2}}{2} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin{align*} \int e^{x^2} x \, dx &=\frac{e^{x^2}}{2}\\ \end{align*}
Mathematica [A] time = 0.000582, size = 9, normalized size = 1. \[ \frac{e^{x^2}}{2} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 7, normalized size = 0.8 \begin{align*}{\frac{{{\rm e}^{{x}^{2}}}}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.925133, size = 8, normalized size = 0.89 \begin{align*} \frac{1}{2} \, e^{\left (x^{2}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.91346, size = 18, normalized size = 2. \begin{align*} \frac{1}{2} \, e^{\left (x^{2}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.075075, size = 5, normalized size = 0.56 \begin{align*} \frac{e^{x^{2}}}{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.07024, size = 8, normalized size = 0.89 \begin{align*} \frac{1}{2} \, e^{\left (x^{2}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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