Optimal. Leaf size=13 \[ \log \left (\frac {1}{4} \left (7+e^{e^4}+x\right )\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.69, number of steps used = 1, number of rules used = 1, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.100, Rules used = {31} \begin {gather*} \log \left (x+e^{e^4}+7\right ) \end {gather*}
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\log \left (7+e^{e^4}+x\right )\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 0.69 \begin {gather*} \log \left (7+e^{e^4}+x\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.56, size = 7, normalized size = 0.54 \begin {gather*} \log \left (x + e^{\left (e^{4}\right )} + 7\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.35, size = 8, normalized size = 0.62 \begin {gather*} \log \left ({\left | x + e^{\left (e^{4}\right )} + 7 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.40, size = 8, normalized size = 0.62
method | result | size |
risch | \(\ln \left ({\mathrm e}^{{\mathrm e}^{4}}+x +7\right )\) | \(8\) |
default | \(\ln \left ({\mathrm e}^{{\mathrm e}^{4}}+x +7\right )\) | \(10\) |
norman | \(\ln \left ({\mathrm e}^{{\mathrm e}^{4}}+x +7\right )\) | \(10\) |
meijerg | \(\ln \left (1+\frac {x}{{\mathrm e}^{{\mathrm e}^{4}}+7}\right )\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.49, size = 7, normalized size = 0.54 \begin {gather*} \log \left (x + e^{\left (e^{4}\right )} + 7\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 7, normalized size = 0.54 \begin {gather*} \ln \left (x+{\mathrm {e}}^{{\mathrm {e}}^4}+7\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.62 \begin {gather*} \log {\left (x + 7 + e^{e^{4}} \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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