Optimal. Leaf size=20 \[ \left (5+e^{e^{16 e^2}}\right ) \log \left (\left (3+e^{25}\right ) x\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 14, normalized size of antiderivative = 0.70, number of steps used = 2, number of rules used = 2, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.133, Rules used = {12, 29} \begin {gather*} \left (5+e^{e^{16 e^2}}\right ) \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 29
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\left (5+e^{e^{16 e^2}}\right ) \int \frac {1}{x} \, dx\\ &=\left (5+e^{e^{16 e^2}}\right ) \log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 0.70 \begin {gather*} \left (5+e^{e^{16 e^2}}\right ) \log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.92, size = 14, normalized size = 0.70 \begin {gather*} e^{\left (e^{\left (16 \, e^{2}\right )}\right )} \log \relax (x) + 5 \, \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.12, size = 12, normalized size = 0.60 \begin {gather*} {\left (e^{\left (e^{\left (16 \, e^{2}\right )}\right )} + 5\right )} \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 14, normalized size = 0.70
method | result | size |
default | \(\left ({\mathrm e}^{{\mathrm e}^{16 \,{\mathrm e}^{2}}}+5\right ) \ln \relax (x )\) | \(14\) |
norman | \(\left ({\mathrm e}^{{\mathrm e}^{16 \,{\mathrm e}^{2}}}+5\right ) \ln \relax (x )\) | \(14\) |
risch | \(\ln \relax (x ) {\mathrm e}^{{\mathrm e}^{16 \,{\mathrm e}^{2}}}+5 \ln \relax (x )\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 11, normalized size = 0.55 \begin {gather*} {\left (e^{\left (e^{\left (16 \, e^{2}\right )}\right )} + 5\right )} \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.04, size = 11, normalized size = 0.55 \begin {gather*} \ln \relax (x)\,\left ({\mathrm {e}}^{{\mathrm {e}}^{16\,{\mathrm {e}}^2}}+5\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 12, normalized size = 0.60 \begin {gather*} \left (5 + e^{e^{16 e^{2}}}\right ) \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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