Optimal. Leaf size=31 \[ 5+\frac {-4+\frac {5}{x}}{8 (-4+x)-\frac {-\frac {5}{x}+\log (5)}{x}} \]
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Rubi [F]
time = 180.01, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps
used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
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Rubi steps
Aborted
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Mathematica [A]
time = 0.01, size = 26, normalized size = 0.84 \begin {gather*} \frac {(5-4 x) x}{5-32 x^2+8 x^3-x \log (5)} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.25, size = 29, normalized size = 0.94
method | result | size |
gosper | \(\frac {x \left (4 x -5\right )}{-8 x^{3}+x \ln \left (5\right )+32 x^{2}-5}\) | \(26\) |
default | \(\frac {4 x^{2}-5 x}{-8 x^{3}+x \ln \left (5\right )+32 x^{2}-5}\) | \(29\) |
norman | \(\frac {4 x^{2}-5 x}{-8 x^{3}+x \ln \left (5\right )+32 x^{2}-5}\) | \(29\) |
risch | \(\frac {4 x^{2}-5 x}{-8 x^{3}+x \ln \left (5\right )+32 x^{2}-5}\) | \(29\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 30, normalized size = 0.97 \begin {gather*} -\frac {4 \, x^{2} - 5 \, x}{8 \, x^{3} - 32 \, x^{2} - x \log \left (5\right ) + 5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.39, size = 30, normalized size = 0.97 \begin {gather*} -\frac {4 \, x^{2} - 5 \, x}{8 \, x^{3} - 32 \, x^{2} - x \log \left (5\right ) + 5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.73, size = 24, normalized size = 0.77 \begin {gather*} \frac {- 4 x^{2} + 5 x}{8 x^{3} - 32 x^{2} - x \log {\left (5 \right )} + 5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 30, normalized size = 0.97 \begin {gather*} -\frac {4 \, x^{2} - 5 \, x}{8 \, x^{3} - 32 \, x^{2} - x \log \left (5\right ) + 5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.11, size = 25, normalized size = 0.81 \begin {gather*} \frac {x\,\left (4\,x-5\right )}{-8\,x^3+32\,x^2+\ln \left (5\right )\,x-5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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