Optimal. Leaf size=15 \[ \frac {x+8 \left (e^{e^x}+x\right )}{x} \]
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Rubi [A]
time = 0.02, antiderivative size = 10, normalized size of antiderivative = 0.67, number of steps
used = 1, number of rules used = 1, integrand size = 17, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.059, Rules used = {2326}
\begin {gather*} \frac {8 e^{e^x}}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 2326
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {8 e^{e^x}}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.01, size = 10, normalized size = 0.67 \begin {gather*} \frac {8 e^{e^x}}{x} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.12, size = 9, normalized size = 0.60
method | result | size |
norman | \(\frac {8 \,{\mathrm e}^{{\mathrm e}^{x}}}{x}\) | \(9\) |
risch | \(\frac {8 \,{\mathrm e}^{{\mathrm e}^{x}}}{x}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.40, size = 8, normalized size = 0.53 \begin {gather*} \frac {8 \, e^{\left (e^{x}\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.37, size = 8, normalized size = 0.53 \begin {gather*} \frac {8 \, e^{\left (e^{x}\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.05, size = 7, normalized size = 0.47 \begin {gather*} \frac {8 e^{e^{x}}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.38, size = 8, normalized size = 0.53 \begin {gather*} \frac {8 \, e^{\left (e^{x}\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 4.05, size = 8, normalized size = 0.53 \begin {gather*} \frac {8\,{\mathrm {e}}^{{\mathrm {e}}^x}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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