Optimal. Leaf size=24 \[ e^2-x \left (2-x+x^3\right )-4 (x+x (1+x)) \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 0.58, number of steps used = 1, number of rules used = 0, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} -x^4-3 x^2-10 x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-10 x-3 x^2-x^4\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 0.58 \begin {gather*} -10 x-3 x^2-x^4 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.64, size = 14, normalized size = 0.58 \begin {gather*} -x^{4} - 3 \, x^{2} - 10 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 14, normalized size = 0.58 \begin {gather*} -x^{4} - 3 \, x^{2} - 10 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 12, normalized size = 0.50
method | result | size |
gosper | \(-x \left (x^{3}+3 x +10\right )\) | \(12\) |
default | \(-x^{4}-3 x^{2}-10 x\) | \(15\) |
norman | \(-x^{4}-3 x^{2}-10 x\) | \(15\) |
risch | \(-x^{4}-3 x^{2}-10 x\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 14, normalized size = 0.58 \begin {gather*} -x^{4} - 3 \, x^{2} - 10 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 11, normalized size = 0.46 \begin {gather*} -x\,\left (x^3+3\,x+10\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 = 0.50 \begin {gather*} - x^{4} - 3 x^{2} - 10 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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