Optimal. Leaf size=10 \[ \frac {2}{x}+3 \log (x) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \frac {2}{x}+3 \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (-\frac {2}{x^2}+\frac {3}{x}\right ) \, dx &=\frac {2}{x}+3 \log (x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 1.00 \begin {gather*} \frac {2}{x}+3 \log (x) \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \left (-\frac {2}{x^2}+\frac {3}{x}\right ) \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 1.02, size = 11, normalized size = 1.10 \begin {gather*} \frac {3 \, x \log \relax (x) + 2}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.12, size = 11, normalized size = 1.10 \begin {gather*} \frac {2}{x} + 3 \, \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 11, normalized size = 1.10 \begin {gather*} 3 \ln \relax (x )+\frac {2}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.03, size = 10, normalized size = 1.00 \begin {gather*} \frac {2}{x} + 3 \, \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 10, normalized size = 1.00 \begin {gather*} 3\,\ln \relax (x)+\frac {2}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 7, normalized size = 0.70 \begin {gather*} 3 \log {\relax (x )} + \frac {2}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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