Optimal. Leaf size=29 \[ \frac {24 e^{5+\frac {e^{x/2}}{2 x}}}{x}+5 \log (\log (4)) \]
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Rubi [B] time = 0.08, antiderivative size = 68, normalized size of antiderivative = 2.34, number of steps used = 1, number of rules used = 1, integrand size = 41, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.024, Rules used = {2288} \begin {gather*} -\frac {24 e^{\frac {x}{2}+\frac {10 x+e^{x/2}}{2 x}} (2-x)}{x^3 \left (\frac {e^{x/2}+20}{x}-\frac {2 \left (10 x+e^{x/2}\right )}{x^2}\right )} \end {gather*}
Antiderivative was successfully verified.
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Rule 2288
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\frac {24 e^{\frac {x}{2}+\frac {e^{x/2}+10 x}{2 x}} (2-x)}{x^3 \left (\frac {20+e^{x/2}}{x}-\frac {2 \left (e^{x/2}+10 x\right )}{x^2}\right )}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.02, size = 23, normalized size = 0.79 \begin {gather*} \frac {24 e^{5+\frac {e^{x/2}}{2 x}}}{x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.10, size = 19, normalized size = 0.66 \begin {gather*} \frac {24 \, e^{\left (\frac {10 \, x + e^{\left (\frac {1}{2} \, x\right )}}{2 \, x}\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 19, normalized size = 0.66 \begin {gather*} \frac {24 \, e^{\left (\frac {10 \, x + e^{\left (\frac {1}{2} \, x\right )}}{2 \, x}\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.05, size = 20, normalized size = 0.69
method | result | size |
norman | \(\frac {24 \,{\mathrm e}^{\frac {{\mathrm e}^{\frac {x}{2}}+10 x}{2 x}}}{x}\) | \(20\) |
risch | \(\frac {24 \,{\mathrm e}^{\frac {{\mathrm e}^{\frac {x}{2}}+10 x}{2 x}}}{x}\) | \(20\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.47, size = 17, normalized size = 0.59 \begin {gather*} \frac {24 \, e^{\left (\frac {e^{\left (\frac {1}{2} \, x\right )}}{2 \, x} + 5\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 4.33, size = 17, normalized size = 0.59 \begin {gather*} \frac {24\,{\mathrm {e}}^{\frac {{\mathrm {e}}^{x/2}}{2\,x}+5}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.17, size = 15, normalized size = 0.52 \begin {gather*} \frac {24 e^{\frac {5 x + \frac {e^{\frac {x}{2}}}{2}}{x}}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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