Optimal. Leaf size=23 \[ 3-e^{e^5 x}-\left (4+e^2\right )^2-x \]
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Rubi [A] time = 0.01, antiderivative size = 13, normalized size of antiderivative = 0.57, number of steps used = 3, number of rules used = 2, integrand size = 20, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.100, Rules used = {14, 2194} \begin {gather*} -x-e^{e^5 x} \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-1-e^{5+e^5 x}\right ) \, dx\\ &=-x-\int e^{5+e^5 x} \, dx\\ &=-e^{e^5 x}-x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 13, normalized size = 0.57 \begin {gather*} -e^{e^5 x}-x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.62, size = 23, normalized size = 1.00 \begin {gather*} -\frac {{\left (x^{2} e^{5} + e^{\left (x e^{5} + \log \relax (x) + 5\right )}\right )} e^{\left (-5\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.12, size = 11, normalized size = 0.48 \begin {gather*} -x - e^{\left (x e^{5}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 12, normalized size = 0.52
method | result | size |
norman | \(-x -{\mathrm e}^{x \,{\mathrm e}^{5}}\) | \(12\) |
risch | \(-x -{\mathrm e}^{x \,{\mathrm e}^{5}}\) | \(12\) |
default | \(-x -{\mathrm e}^{{\mathrm e}^{5+\ln \relax (x )}}\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 11, normalized size = 0.48 \begin {gather*} -x - e^{\left (x e^{5}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.13, size = 11, normalized size = 0.48 \begin {gather*} -x-{\mathrm {e}}^{x\,{\mathrm {e}}^5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 8, normalized size = 0.35 \begin {gather*} - x - e^{x e^{5}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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