Optimal. Leaf size=17 \[ 2-x+e x-4 \left (6-4 x^2\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 14, normalized size of antiderivative = 0.82, number of steps
used = 1, number of rules used = 0, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} 16 x^2-(1-e) x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-((1-e) x)+16 x^2\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 12, normalized size = 0.71 \begin {gather*} -x+e x+16 x^2 \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.32, size = 14, normalized size = 0.82
method | result | size |
norman | \(16 x^{2}+\left ({\mathrm e}-1\right ) x\) | \(13\) |
gosper | \(x \,{\mathrm e}+16 x^{2}-x\) | \(14\) |
default | \(x \,{\mathrm e}+16 x^{2}-x\) | \(14\) |
risch | \(x \,{\mathrm e}+16 x^{2}-x\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 13, normalized size = 0.76 \begin {gather*} 16 \, x^{2} + x e - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.34, size = 13, normalized size = 0.76 \begin {gather*} 16 \, x^{2} + x e - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 10, normalized size = 0.59 \begin {gather*} 16 x^{2} + x \left (-1 + e\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.38, size = 13, normalized size = 0.76 \begin {gather*} 16 \, x^{2} + x e - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 4.10, size = 12, normalized size = 0.71 \begin {gather*} 16\,x^2+\left (\mathrm {e}-1\right )\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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