Optimal. Leaf size=7 \[ 225 x \log ^2(4) \]
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Rubi [A]
time = 0.00, antiderivative size = 7, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {8}
\begin {gather*} 225 x \log ^2(4) \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=225 x \log ^2(4)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} 225 x \log ^2(4) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 8, normalized size = 1.14
method | result | size |
default | \(900 x \ln \left (2\right )^{2}\) | \(8\) |
norman | \(900 x \ln \left (2\right )^{2}\) | \(8\) |
risch | \(900 x \ln \left (2\right )^{2}\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 7, normalized size = 1.00 \begin {gather*} 900 \, x \log \left (2\right )^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.35, size = 7, normalized size = 1.00 \begin {gather*} 900 \, x \log \left (2\right )^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} 900 x \log {\left (2 \right )}^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 7, normalized size = 1.00 \begin {gather*} 900 \, x \log \left (2\right )^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} 900\,x\,{\ln \left (2\right )}^2 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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