Optimal. Leaf size=11 \[ e^{e^3} (1-x) \]
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Rubi [A]
time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.73, 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 = {8}
\begin {gather*} -e^{e^3} x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-e^{e^3} x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 8, normalized size = 0.73 \begin {gather*} -e^{e^3} x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.14, size = 7, normalized size = 0.64
method | result | size |
default | \(-x \,{\mathrm e}^{{\mathrm e}^{3}}\) | \(7\) |
norman | \(-x \,{\mathrm e}^{{\mathrm e}^{3}}\) | \(7\) |
risch | \(-x \,{\mathrm e}^{{\mathrm e}^{3}}\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 6, normalized size = 0.55 \begin {gather*} -x e^{\left (e^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.35, size = 6, normalized size = 0.55 \begin {gather*} -x e^{\left (e^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 7, normalized size = 0.64 \begin {gather*} - x e^{e^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 6, normalized size = 0.55 \begin {gather*} -x e^{\left (e^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 6, normalized size = 0.55 \begin {gather*} -x\,{\mathrm {e}}^{{\mathrm {e}}^3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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