Optimal. Leaf size=14 \[ \frac {2 x^{10} \log ^8(5)}{9 e^{24}} \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {12, 30} \begin {gather*} \frac {2 x^{10} \log ^8(5)}{9 e^{24}} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {\left (20 \log ^8(5)\right ) \int x^9 \, dx}{9 e^{24}}\\ &=\frac {2 x^{10} \log ^8(5)}{9 e^{24}}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 1.00 \begin {gather*} \frac {2 x^{10} \log ^8(5)}{9 e^{24}} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.74, size = 11, normalized size = 0.79 \begin {gather*} \frac {2}{9} \, x^{10} e^{\left (-24\right )} \log \relax (5)^{8} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 11, normalized size = 0.79 \begin {gather*} \frac {2}{9} \, x^{10} e^{\left (-24\right )} \log \relax (5)^{8} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 12, normalized size = 0.86
method | result | size |
risch | \(\frac {2 x^{10} \ln \relax (5)^{8} {\mathrm e}^{-24}}{9}\) | \(12\) |
gosper | \(\frac {2 x^{10} \ln \relax (5)^{8} {\mathrm e}^{-24}}{9}\) | \(14\) |
default | \(\frac {2 x^{10} \ln \relax (5)^{8} {\mathrm e}^{-24}}{9}\) | \(14\) |
norman | \(\frac {2 x^{10} \ln \relax (5)^{8} {\mathrm e}^{-24}}{9}\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 11, normalized size = 0.79 \begin {gather*} \frac {2}{9} \, x^{10} e^{\left (-24\right )} \log \relax (5)^{8} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.48, size = 11, normalized size = 0.79 \begin {gather*} \frac {2\,x^{10}\,{\mathrm {e}}^{-24}\,{\ln \relax (5)}^8}{9} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 14, normalized size = 1.00 \begin {gather*} \frac {2 x^{10} \log {\relax (5 )}^{8}}{9 e^{24}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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