Optimal. Leaf size=18 \[ -3+\frac {2-x}{1+e-\log (\log (5))} \]
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Rubi [A]
time = 0.00, antiderivative size = 13, normalized size of antiderivative = 0.72, number of steps
used = 1, number of rules used = 1, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.100, Rules used = {8}
\begin {gather*} -\frac {x}{1+e-\log (\log (5))} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\frac {x}{1+e-\log (\log (5))}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 12, normalized size = 0.67 \begin {gather*} \frac {x}{-1-e+\log (\log (5))} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.03, size = 14, normalized size = 0.78
method | result | size |
default | \(\frac {x}{\ln \left (\ln \left (5\right )\right )-{\mathrm e}-1}\) | \(14\) |
risch | \(\frac {x}{\ln \left (\ln \left (5\right )\right )-{\mathrm e}-1}\) | \(14\) |
norman | \(-\frac {x}{{\mathrm e}+1-\ln \left (\ln \left (5\right )\right )}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 14, normalized size = 0.78 \begin {gather*} -\frac {x}{e - \log \left (\log \left (5\right )\right ) + 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.33, size = 14, normalized size = 0.78 \begin {gather*} -\frac {x}{e - \log \left (\log \left (5\right )\right ) + 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 10, normalized size = 0.56 \begin {gather*} \frac {x}{- e - 1 + \log {\left (\log {\left (5 \right )} \right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.39, size = 14, normalized size = 0.78 \begin {gather*} -\frac {x}{e - \log \left (\log \left (5\right )\right ) + 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 14, normalized size = 0.78 \begin {gather*} -\frac {x}{\mathrm {e}-\ln \left (\ln \left (5\right )\right )+1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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