Optimal. Leaf size=16 \[ 5+(3-x)^2+2 x^3 \log (16) \]
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Rubi [A]
time = 0.00, antiderivative size = 14, normalized size of antiderivative = 0.88, number of steps
used = 1, number of rules used = 0, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} 2 x^3 \log (16)+x^2-6 x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-6 x+x^2+2 x^3 \log (16)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 14, normalized size = 0.88 \begin {gather*} -6 x+x^2+2 x^3 \log (16) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.61, size = 15, normalized size = 0.94
method | result | size |
gosper | \(x \left (8 x^{2} \ln \left (2\right )+x -6\right )\) | \(13\) |
default | \(8 x^{3} \ln \left (2\right )+x^{2}-6 x\) | \(15\) |
norman | \(8 x^{3} \ln \left (2\right )+x^{2}-6 x\) | \(15\) |
risch | \(8 x^{3} \ln \left (2\right )+x^{2}-6 x\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 14, normalized size = 0.88 \begin {gather*} 8 \, x^{3} \log \left (2\right ) + x^{2} - 6 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.34, size = 14, normalized size = 0.88 \begin {gather*} 8 \, x^{3} \log \left (2\right ) + x^{2} - 6 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 14, normalized size = 0.88 \begin {gather*} 8 x^{3} \log {\left (2 \right )} + x^{2} - 6 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 14, normalized size = 0.88 \begin {gather*} 8 \, x^{3} \log \left (2\right ) + x^{2} - 6 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 12, normalized size = 0.75 \begin {gather*} x\,\left (8\,\ln \left (2\right )\,x^2+x-6\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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