Optimal. Leaf size=24 \[ e^4+\frac {1}{3} \left (-25+\frac {4}{x}\right )-\frac {1}{2 x}+\log (x) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.42, number of steps used = 3, number of rules used = 2, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {12, 43} \begin {gather*} \frac {5}{6 x}+\log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 43
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{6} \int \frac {-5+6 x}{x^2} \, dx\\ &=\frac {1}{6} \int \left (-\frac {5}{x^2}+\frac {6}{x}\right ) \, dx\\ &=\frac {5}{6 x}+\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 0.58 \begin {gather*} \frac {1}{6} \left (\frac {5}{x}+6 \log (x)\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 12, normalized size = 0.50 \begin {gather*} \frac {6 \, x \log \relax (x) + 5}{6 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 9, normalized size = 0.38 \begin {gather*} \frac {5}{6 \, x} + \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 0.38
method | result | size |
default | \(\frac {5}{6 x}+\ln \relax (x )\) | \(9\) |
norman | \(\frac {5}{6 x}+\ln \relax (x )\) | \(9\) |
risch | \(\frac {5}{6 x}+\ln \relax (x )\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 8, normalized size = 0.33 \begin {gather*} \frac {5}{6 \, x} + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 8, normalized size = 0.33 \begin {gather*} \ln \relax (x)+\frac {5}{6\,x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.29 \begin {gather*} \log {\relax (x )} + \frac {5}{6 x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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