Optimal. Leaf size=15 \[ x \left (-3+\frac {-5-x+\log (x)}{x}\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.40, number of steps used = 2, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {43} \begin {gather*} \log (x)-4 x \end {gather*}
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-4+\frac {1}{x}\right ) \, dx\\ &=-4 x+\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 6, normalized size = 0.40 \begin {gather*} -4 x+\log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.66, size = 6, normalized size = 0.40 \begin {gather*} -4 \, x + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.01, size = 7, normalized size = 0.47 \begin {gather*} -4 \, 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 = 7, normalized size = 0.47
method | result | size |
default | \(-4 x +\ln \relax (x )\) | \(7\) |
norman | \(-4 x +\ln \relax (x )\) | \(7\) |
risch | \(-4 x +\ln \relax (x )\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.38, size = 6, normalized size = 0.40 \begin {gather*} -4 \, x + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 6, normalized size = 0.40 \begin {gather*} \ln \relax (x)-4\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 5, normalized size = 0.33 \begin {gather*} - 4 x + \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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