Optimal. Leaf size=13 \[ e^{4+6 \left (5-x^2\right )} \]
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Rubi [A] time = 0.01, antiderivative size = 9, normalized size of antiderivative = 0.69, number of steps used = 2, number of rules used = 2, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {12, 2209} \begin {gather*} e^{34-6 x^2} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2209
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (12 \int e^{34-6 x^2} x \, dx\right )\\ &=e^{34-6 x^2}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 0.69 \begin {gather*} e^{34-6 x^2} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.57, size = 8, normalized size = 0.62 \begin {gather*} e^{\left (-6 \, x^{2} + 34\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 8, normalized size = 0.62 \begin {gather*} e^{\left (-6 \, x^{2} + 34\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 0.69
method | result | size |
gosper | \({\mathrm e}^{-6 x^{2}+34}\) | \(9\) |
derivativedivides | \({\mathrm e}^{-6 x^{2}+34}\) | \(9\) |
default | \({\mathrm e}^{-6 x^{2}+34}\) | \(9\) |
norman | \({\mathrm e}^{-6 x^{2}+34}\) | \(9\) |
risch | \({\mathrm e}^{-6 x^{2}+34}\) | \(9\) |
meijerg | \(-{\mathrm e}^{34} \left (1-{\mathrm e}^{-6 x^{2}}\right )\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 8, normalized size = 0.62 \begin {gather*} e^{\left (-6 \, x^{2} + 34\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.39, size = 9, normalized size = 0.69 \begin {gather*} {\mathrm {e}}^{34}\,{\mathrm {e}}^{-6\,x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 7, normalized size = 0.54 \begin {gather*} e^{34 - 6 x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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