Optimal. Leaf size=19 \[ \frac {6 \left (-7+e^6+x (4+x)-4 \log (3)\right )}{x} \]
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Rubi [A]
time = 0.01, antiderivative size = 18, normalized size of antiderivative = 0.95, number of steps
used = 2, number of rules used = 1, integrand size = 20, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.050, Rules used = {14}
\begin {gather*} 6 x-\frac {6 \left (7-e^6+\log (81)\right )}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (6-\frac {6 \left (-7+e^6-4 \log (3)\right )}{x^2}\right ) \, dx\\ &=6 x-\frac {6 \left (7-e^6+\log (81)\right )}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.01, size = 17, normalized size = 0.89 \begin {gather*} 6 \left (x+\frac {-7+e^6-\log (81)}{x}\right ) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.22, size = 20, normalized size = 1.05
method | result | size |
default | \(6 x -\frac {6 \left (4 \ln \left (3\right )-{\mathrm e}^{6}+7\right )}{x}\) | \(20\) |
norman | \(\frac {6 x^{2}+6 \,{\mathrm e}^{6}-24 \ln \left (3\right )-42}{x}\) | \(22\) |
gosper | \(-\frac {6 \left (-{\mathrm e}^{6}-x^{2}+4 \ln \left (3\right )+7\right )}{x}\) | \(23\) |
risch | \(6 x +\frac {6 \,{\mathrm e}^{6}}{x}-\frac {24 \ln \left (3\right )}{x}-\frac {42}{x}\) | \(24\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 17, normalized size = 0.89 \begin {gather*} 6 \, x + \frac {6 \, {\left (e^{6} - 4 \, \log \left (3\right ) - 7\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.37, size = 16, normalized size = 0.84 \begin {gather*} \frac {6 \, {\left (x^{2} + e^{6} - 4 \, \log \left (3\right ) - 7\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.04, size = 15, normalized size = 0.79 \begin {gather*} 6 x + \frac {-42 - 24 \log {\left (3 \right )} + 6 e^{6}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 17, normalized size = 0.89 \begin {gather*} 6 \, x + \frac {6 \, {\left (e^{6} - 4 \, \log \left (3\right ) - 7\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.04, size = 19, normalized size = 1.00 \begin {gather*} 6\,x-\frac {24\,\ln \left (3\right )-6\,{\mathrm {e}}^6+42}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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