Optimal. Leaf size=12 \[ x \left (-1-20 e^2+x^8\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 1.17, number of steps used = 1, number of rules used = 0, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} x^9-\left (1+20 e^2\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (\left (1+20 e^2\right ) x\right )+x^9\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.08 \begin {gather*} -x-20 e^2 x+x^9 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.88, size = 15, normalized size = 1.25 \begin {gather*} x^{9} - x e^{\left (\log \left (20\right ) + 2\right )} - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 15, normalized size = 1.25 \begin {gather*} x^{9} - x e^{\left (\log \left (20\right ) + 2\right )} - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 13, normalized size = 1.08
method | result | size |
norman | \(x^{9}+\left (-20 \,{\mathrm e}^{2}-1\right ) x\) | \(13\) |
risch | \(-20 \,{\mathrm e}^{2} x +x^{9}-x\) | \(13\) |
gosper | \(-x \left (-x^{8}+{\mathrm e}^{\ln \left (20\right )+2}+1\right )\) | \(16\) |
default | \(-{\mathrm e}^{\ln \left (20\right )+2} x +x^{9}-x\) | \(16\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 12, normalized size = 1.00 \begin {gather*} x^{9} - 20 \, x e^{2} - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.54, size = 13, normalized size = 1.08 \begin {gather*} x^9-x\,\left (20\,{\mathrm {e}}^2+1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 12, normalized size = 1.00 \begin {gather*} x^{9} + x \left (- 20 e^{2} - 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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