Optimal. Leaf size=34 \[ -1+x+\log \left (\frac {1}{2} \left (\frac {4}{x}+\frac {5 e^{\frac {5}{4} \left (-2+e^{e^3}\right )^2}}{x}\right )\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.18, number of steps
used = 2, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {45}
\begin {gather*} 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 (1-\frac {1}{x}\right ) \, dx\\ &=x-\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 6, normalized size = 0.18 \begin {gather*} x-\log (x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.11, size = 7, normalized size = 0.21
method | result | size |
default | \(x -\ln \left (x \right )\) | \(7\) |
norman | \(x -\ln \left (x \right )\) | \(7\) |
risch | \(x -\ln \left (x \right )\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 6, normalized size = 0.18 \begin {gather*} x - \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.41, size = 6, normalized size = 0.18 \begin {gather*} x - \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 3, normalized size = 0.09 \begin {gather*} x - \log {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.38, size = 7, normalized size = 0.21 \begin {gather*} 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 = 0.01, size = 6, normalized size = 0.18 \begin {gather*} x-\ln \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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