Optimal. Leaf size=13 \[ -\frac {1}{2} e^{2-x^2} \]
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Rubi [A] time = 0.01, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {2209} \[ -\frac {1}{2} e^{2-x^2} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin {align*} \int e^{2-x^2} x \, dx &=-\frac {1}{2} e^{2-x^2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \[ -\frac {1}{2} e^{2-x^2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 10, normalized size = 0.77 \[ -\frac {1}{2} \, e^{\left (-x^{2} + 2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 10, normalized size = 0.77 \[ -\frac {1}{2} \, e^{\left (-x^{2} + 2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 11, normalized size = 0.85 \[ -\frac {{\mathrm e}^{-x^{2}+2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.80, size = 10, normalized size = 0.77 \[ -\frac {1}{2} \, e^{\left (-x^{2} + 2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.06, size = 10, normalized size = 0.77 \[ -\frac {{\mathrm {e}}^2\,{\mathrm {e}}^{-x^2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 8, normalized size = 0.62 \[ - \frac {e^{2 - x^{2}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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