Optimal. Leaf size=12 \[ \frac {20 x \log \left (4 e^5\right )}{e^{10}} \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.83, number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {8} \begin {gather*} \frac {20 x (5+\log (4))}{e^{10}} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {20 x (5+\log (4))}{e^{10}}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \begin {gather*} \frac {20 x \log \left (4 e^5\right )}{e^{10}} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.69, size = 13, normalized size = 1.08 \begin {gather*} 20 \, {\left (2 \, x \log \relax (2) + 5 \, x\right )} e^{\left (-10\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 10, normalized size = 0.83 \begin {gather*} 20 \, x e^{\left (-10\right )} \log \left (4 \, e^{5}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 13, normalized size = 1.08
method | result | size |
default | \(20 \,{\mathrm e}^{-10} x \ln \left (4 \,{\mathrm e}^{5}\right )\) | \(13\) |
norman | \(20 \left (2 \ln \relax (2)+5\right ) {\mathrm e}^{-10} x\) | \(14\) |
risch | \(40 \,{\mathrm e}^{-10} x \ln \relax (2)+100 \,{\mathrm e}^{-10} x\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 10, normalized size = 0.83 \begin {gather*} 20 \, x e^{\left (-10\right )} \log \left (4 \, e^{5}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 10, normalized size = 0.83 \begin {gather*} 20\,x\,\ln \left (4\,{\mathrm {e}}^5\right )\,{\mathrm {e}}^{-10} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 12, normalized size = 1.00 \begin {gather*} \frac {20 x \log {\left (4 e^{5} \right )}}{e^{10}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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