Optimal. Leaf size=21 \[ -2+2 x+(i \pi +\log (5))^2-\log (2 x) \]
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Rubi [A]
time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.38, number of steps
used = 2, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {45}
\begin {gather*} 2 x-\log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 45
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (2-\frac {1}{x}\right ) \, dx\\ &=2 x-\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 8, normalized size = 0.38 \begin {gather*} 2 x-\log (x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 9, normalized size = 0.43
method | result | size |
default | \(2 x -\ln \left (x \right )\) | \(9\) |
norman | \(2 x -\ln \left (x \right )\) | \(9\) |
risch | \(2 x -\ln \left (x \right )\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 8, normalized size = 0.38 \begin {gather*} 2 \, x - \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.36, size = 8, normalized size = 0.38 \begin {gather*} 2 \, x - \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 5, normalized size = 0.24 \begin {gather*} 2 x - \log {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.42, size = 9, normalized size = 0.43 \begin {gather*} 2 \, x - \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.02, size = 8, normalized size = 0.38 \begin {gather*} 2\,x-\ln \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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