Optimal. Leaf size=27 \[ \frac {4}{5} \left (1+\frac {2}{x}+3 \log (2)-\log \left (\frac {\log (3)}{5 e^4}\right )\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.26, number of steps
used = 2, number of rules used = 2, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.286, Rules used = {12, 30}
\begin {gather*} \frac {8}{5 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 {8}{5} \int \frac {1}{x^2} \, dx\right )\\ &=\frac {8}{5 x}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 7, normalized size = 0.26 \begin {gather*} \frac {8}{5 x} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 6, normalized size = 0.22
method | result | size |
gosper | \(\frac {8}{5 x}\) | \(6\) |
default | \(\frac {8}{5 x}\) | \(6\) |
norman | \(\frac {8}{5 x}\) | \(6\) |
risch | \(\frac {8}{5 x}\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 5, normalized size = 0.19 \begin {gather*} \frac {8}{5 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.51, size = 5, normalized size = 0.19 \begin {gather*} \frac {8}{5 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 3, normalized size = 0.11 \begin {gather*} \frac {8}{5 x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 5, normalized size = 0.19 \begin {gather*} \frac {8}{5 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.02, size = 5, normalized size = 0.19 \begin {gather*} \frac {8}{5\,x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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