Optimal. Leaf size=17 \[ e^{-3-e^5-6 x+2 x^2} \]
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Rubi [A]
time = 0.01, antiderivative size = 17, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 23, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.043, Rules used = {2268}
\begin {gather*} e^{2 x^2-6 x-e^5-3} \end {gather*}
Antiderivative was successfully verified.
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Rule 2268
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{-3-e^5-6 x+2 x^2}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.02, size = 17, normalized size = 1.00 \begin {gather*} e^{-3-e^5-6 x+2 x^2} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.04, size = 16, normalized size = 0.94
method | result | size |
default | \({\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-6 x -3}\) | \(16\) |
risch | \({\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-6 x -3}\) | \(16\) |
gosper | \({\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-2 x -3} {\mathrm e}^{-4 x}\) | \(23\) |
norman | \({\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-2 x -3} {\mathrm e}^{-4 x}\) | \(23\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 15, normalized size = 0.88 \begin {gather*} e^{\left (2 \, x^{2} - 6 \, x - e^{5} - 3\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.36, size = 15, normalized size = 0.88 \begin {gather*} e^{\left (2 \, x^{2} - 6 \, x - e^{5} - 3\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.09, size = 19, normalized size = 1.12 \begin {gather*} e^{- 4 x} e^{2 x^{2} - 2 x - e^{5} - 3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 15, normalized size = 0.88 \begin {gather*} e^{\left (2 \, x^{2} - 6 \, x - e^{5} - 3\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 1.38, size = 18, normalized size = 1.06 \begin {gather*} {\mathrm {e}}^{-{\mathrm {e}}^5}\,{\mathrm {e}}^{-6\,x}\,{\mathrm {e}}^{-3}\,{\mathrm {e}}^{2\,x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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