Optimal. Leaf size=14 \[ 2+\frac {x+\frac {388129 \log (5)}{32}}{x} \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.64, 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 {388129 \log (5)}{32 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}{32} (388129 \log (5)) \int \frac {1}{x^2} \, dx\right )\\ &=\frac {388129 \log (5)}{32 x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 0.64 \begin {gather*} \frac {388129 \log (5)}{32 x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.18, size = 7, normalized size = 0.50 \begin {gather*} \frac {388129 \, \log \relax (5)}{32 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.29, size = 7, normalized size = 0.50 \begin {gather*} \frac {388129 \, \log \relax (5)}{32 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 8, normalized size = 0.57
method | result | size |
gosper | \(\frac {388129 \ln \relax (5)}{32 x}\) | \(8\) |
default | \(\frac {388129 \ln \relax (5)}{32 x}\) | \(8\) |
norman | \(\frac {388129 \ln \relax (5)}{32 x}\) | \(8\) |
risch | \(\frac {388129 \ln \relax (5)}{32 x}\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.65, size = 7, normalized size = 0.50 \begin {gather*} \frac {388129 \, \log \relax (5)}{32 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.67, size = 7, normalized size = 0.50 \begin {gather*} \frac {388129\,\ln \relax (5)}{32\,x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.50 \begin {gather*} \frac {388129 \log {\relax (5 )}}{32 x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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