Optimal. Leaf size=16 \[ \frac {16 e^{-262144 (4-x)} x}{\log (x)} \]
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Rubi [A] time = 0.03, antiderivative size = 16, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 24, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.042, Rules used = {2201} \begin {gather*} \frac {16 e^{-262144 (4-x)} x}{\log (x)} \end {gather*}
Antiderivative was successfully verified.
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Rule 2201
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {16 e^{-262144 (4-x)} x}{\log (x)}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 14, normalized size = 0.88 \begin {gather*} \frac {16 e^{262144 (-4+x)} x}{\log (x)} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.60, size = 13, normalized size = 0.81 \begin {gather*} \frac {16 \, x e^{\left (262144 \, x - 1048576\right )}}{\log \relax (x)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [F(-2)] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: TypeError} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 14, normalized size = 0.88
method | result | size |
risch | \(\frac {16 x \,{\mathrm e}^{262144 x -1048576}}{\ln \relax (x )}\) | \(14\) |
norman | \(\frac {16 x \,{\mathrm e}^{262144 x -1048576}}{\ln \relax (x )}\) | \(16\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.42, size = 13, normalized size = 0.81 \begin {gather*} \frac {16 \, x e^{\left (262144 \, x - 1048576\right )}}{\log \relax (x)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.41, size = 13, normalized size = 0.81 \begin {gather*} \frac {16\,x\,{\mathrm {e}}^{262144\,x}\,{\mathrm {e}}^{-1048576}}{\ln \relax (x)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.24, size = 12, normalized size = 0.75 \begin {gather*} \frac {16 x e^{262144 x - 1048576}}{\log {\relax (x )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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