Optimal. Leaf size=17 \[ -\frac {1}{16 x^4}-\frac {\log (x)}{4 x^4} \]
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Rubi [A] time = 0.01, antiderivative size = 17, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {2304} \[ -\frac {1}{16 x^4}-\frac {\log (x)}{4 x^4} \]
Antiderivative was successfully verified.
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Rule 2304
Rubi steps
\begin {align*} \int \frac {\log (x)}{x^5} \, dx &=-\frac {1}{16 x^4}-\frac {\log (x)}{4 x^4}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 17, normalized size = 1.00 \[ -\frac {1}{16 x^4}-\frac {\log (x)}{4 x^4} \]
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\log (x)}{x^5} \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.86, size = 11, normalized size = 0.65 \[ -\frac {4 \, \log \relax (x) + 1}{16 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.79, size = 13, normalized size = 0.76 \[ -\frac {\log \relax (x)}{4 \, x^{4}} - \frac {1}{16 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 11, normalized size = 0.65
method | result | size |
norman | \(\frac {-\frac {1}{16}-\frac {\ln \relax (x )}{4}}{x^{4}}\) | \(11\) |
default | \(-\frac {1}{16 x^{4}}-\frac {\ln \relax (x )}{4 x^{4}}\) | \(14\) |
risch | \(-\frac {1}{16 x^{4}}-\frac {\ln \relax (x )}{4 x^{4}}\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.43, size = 13, normalized size = 0.76 \[ -\frac {\log \relax (x)}{4 \, x^{4}} - \frac {1}{16 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.17, size = 9, normalized size = 0.53 \[ -\frac {\ln \relax (x)+\frac {1}{4}}{4\,x^4} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 15, normalized size = 0.88 \[ - \frac {\log {\relax (x )}}{4 x^{4}} - \frac {1}{16 x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
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