Optimal. Leaf size=19 \[ 25 e^{4 x \log (5) \log \left (e^{3 x}-x\right )} \]
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Rubi [A]
time = 0.51, antiderivative size = 19, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 71, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.014, Rules used = {6838}
\begin {gather*} 25 e^{4 x \log (5) \log \left (e^{3 x}-x\right )} \end {gather*}
Antiderivative was successfully verified.
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Rule 6838
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=25 e^{4 x \log (5) \log \left (e^{3 x}-x\right )}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.12, size = 25, normalized size = 1.32 \begin {gather*} \frac {4\ 5^{2+4 x \log \left (e^{3 x}-x\right )} \log (5)}{\log (625)} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.18, size = 19, normalized size = 1.00
method | result | size |
risch | \(25 \left ({\mathrm e}^{3 x}-x \right )^{4 x \ln \left (5\right )}\) | \(19\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.53, size = 17, normalized size = 0.89 \begin {gather*} 25 \, e^{\left (4 \, x \log \left (5\right ) \log \left (-x + e^{\left (3 \, x\right )}\right )\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.36, size = 17, normalized size = 0.89 \begin {gather*} 25 \, e^{\left (4 \, x \log \left (5\right ) \log \left (-x + e^{\left (3 \, x\right )}\right )\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 1.29, size = 17, normalized size = 0.89 \begin {gather*} 25 e^{4 x \log {\left (5 \right )} \log {\left (- x + e^{3 x} \right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 3.19, size = 16, normalized size = 0.84 \begin {gather*} 25\,{\left ({\mathrm {e}}^{3\,x}-x\right )}^{4\,x\,\ln \left (5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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