Optimal. Leaf size=18 \[ -20+x-\left (x+x^3\right )^2+\frac {10}{\log ^2(5)} \]
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Rubi [A] time = 0.00, antiderivative size = 17, normalized size of antiderivative = 0.94, number of steps used = 1, number of rules used = 0, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} -x^6-2 x^4-x^2+x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x-x^2-2 x^4-x^6\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 17, normalized size = 0.94 \begin {gather*} x-x^2-2 x^4-x^6 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.47, size = 17, normalized size = 0.94 \begin {gather*} -x^{6} - 2 \, x^{4} - x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.18, size = 17, normalized size = 0.94 \begin {gather*} -x^{6} - 2 \, x^{4} - x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 15, normalized size = 0.83
method | result | size |
gosper | \(-x \left (x^{5}+2 x^{3}+x -1\right )\) | \(15\) |
default | \(-x^{6}-2 x^{4}-x^{2}+x\) | \(18\) |
norman | \(-x^{6}-2 x^{4}-x^{2}+x\) | \(18\) |
risch | \(-x^{6}-2 x^{4}-x^{2}+x\) | \(18\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 17, normalized size = 0.94 \begin {gather*} -x^{6} - 2 \, x^{4} - x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 17, normalized size = 0.94 \begin {gather*} -x^6-2\,x^4-x^2+x \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 = 0.67 \begin {gather*} - x^{6} - 2 x^{4} - x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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