Optimal. Leaf size=20 \[ 3-e^e-x^2+2 x^3 (3+x) \]
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Rubi [A]
time = 0.00, antiderivative size = 16, normalized size of antiderivative = 0.80, number of steps
used = 1, number of rules used = 0, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} 2 x^4+6 x^3-x^2 \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-x^2+6 x^3+2 x^4\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 16, normalized size = 0.80 \begin {gather*} -x^2+6 x^3+2 x^4 \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.28, size = 17, normalized size = 0.85
method | result | size |
gosper | \(x^{2} \left (2 x^{2}+6 x -1\right )\) | \(15\) |
default | \(2 x^{4}+6 x^{3}-x^{2}\) | \(17\) |
norman | \(2 x^{4}+6 x^{3}-x^{2}\) | \(17\) |
risch | \(2 x^{4}+6 x^{3}-x^{2}\) | \(17\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.35, size = 16, normalized size = 0.80 \begin {gather*} 2 \, x^{4} + 6 \, x^{3} - x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.37, size = 16, normalized size = 0.80 \begin {gather*} 2 \, x^{4} + 6 \, x^{3} - x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 12, normalized size = 0.60 \begin {gather*} 2 x^{4} + 6 x^{3} - x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.38, size = 16, normalized size = 0.80 \begin {gather*} 2 \, x^{4} + 6 \, x^{3} - x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 14, normalized size = 0.70 \begin {gather*} x^2\,\left (2\,x^2+6\,x-1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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