Optimal. Leaf size=18 \[ 5 \left (e^4-\frac {(-3+x) \log (5)}{2 x}\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.50, number of steps
used = 2, number of rules used = 2, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.222, Rules used = {12, 30}
\begin {gather*} \frac {15 \log (5)}{2 x} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (\frac {1}{2} (15 \log (5)) \int \frac {1}{x^2} \, dx\right )\\ &=\frac {15 \log (5)}{2 x}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 9, normalized size = 0.50 \begin {gather*} \frac {15 \log (5)}{2 x} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.12, size = 8, normalized size = 0.44
method | result | size |
gosper | \(\frac {15 \ln \left (5\right )}{2 x}\) | \(8\) |
default | \(\frac {15 \ln \left (5\right )}{2 x}\) | \(8\) |
norman | \(\frac {15 \ln \left (5\right )}{2 x}\) | \(8\) |
risch | \(\frac {15 \ln \left (5\right )}{2 x}\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 7, normalized size = 0.39 \begin {gather*} \frac {15 \, \log \left (5\right )}{2 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.40, size = 7, normalized size = 0.39 \begin {gather*} \frac {15 \, \log \left (5\right )}{2 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 7, normalized size = 0.39 \begin {gather*} \frac {15 \log {\left (5 \right )}}{2 x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.42, size = 7, normalized size = 0.39 \begin {gather*} \frac {15 \, \log \left (5\right )}{2 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.02, size = 7, normalized size = 0.39 \begin {gather*} \frac {15\,\ln \left (5\right )}{2\,x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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