Optimal. Leaf size=14 \[ 2 (-1-3 x) x-\log (\log (5)) \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.64, number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} -6 x^2-2 x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-2 x-6 x^2\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 0.64 \begin {gather*} -2 x-6 x^2 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.66, size = 9, normalized size = 0.64 \begin {gather*} -6 \, x^{2} - 2 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.27, size = 9, normalized size = 0.64 \begin {gather*} -6 \, x^{2} - 2 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 9, normalized size = 0.64
method | result | size |
gosper | \(-2 x \left (3 x +1\right )\) | \(9\) |
default | \(-6 x^{2}-2 x\) | \(10\) |
norman | \(-6 x^{2}-2 x\) | \(10\) |
risch | \(-6 x^{2}-2 x\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.43, size = 9, normalized size = 0.64 \begin {gather*} -6 \, x^{2} - 2 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 8, normalized size = 0.57 \begin {gather*} -2\,x\,\left (3\,x+1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.04, size = 8, normalized size = 0.57 \begin {gather*} - 6 x^{2} - 2 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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