Optimal. Leaf size=8 \[ \log \left (3 e^{45}+x\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {31} \begin {gather*} \log \left (x+3 e^{45}\right ) \end {gather*}
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\log \left (3 e^{45}+x\right )\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \begin {gather*} \log \left (3 e^{45}+x\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.79, size = 7, normalized size = 0.88 \begin {gather*} \log \left (x + 3 \, e^{45}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 8, normalized size = 1.00 \begin {gather*} \log \left ({\left | x + 3 \, e^{45} \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.28, size = 8, normalized size = 1.00
method | result | size |
default | \(\ln \left (3 \,{\mathrm e}^{45}+x \right )\) | \(8\) |
norman | \(\ln \left (3 \,{\mathrm e}^{45}+x \right )\) | \(8\) |
risch | \(\ln \left (3 \,{\mathrm e}^{45}+x \right )\) | \(8\) |
meijerg | \(\ln \left (1+\frac {x \,{\mathrm e}^{-45}}{3}\right )\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 7, normalized size = 0.88 \begin {gather*} \log \left (x + 3 \, e^{45}\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 = 0.88 \begin {gather*} \ln \left (x+3\,{\mathrm {e}}^{45}\right ) \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 = 0.88 \begin {gather*} \log {\left (x + 3 e^{45} \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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