Optimal. Leaf size=23 \[ x+\frac {3-5 (x+4 x (i \pi +\log (2)))}{x} \]
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Rubi [A]
time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.30, 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 = {14}
\begin {gather*} x+\frac {3}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (1-\frac {3}{x^2}\right ) \, dx\\ &=\frac {3}{x}+x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 7, normalized size = 0.30 \begin {gather*} \frac {3}{x}+x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 8, normalized size = 0.35
method | result | size |
default | \(x +\frac {3}{x}\) | \(8\) |
risch | \(x +\frac {3}{x}\) | \(8\) |
gosper | \(\frac {x^{2}+3}{x}\) | \(10\) |
norman | \(\frac {x^{2}+3}{x}\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.25, size = 7, normalized size = 0.30 \begin {gather*} x + \frac {3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.30, size = 9, normalized size = 0.39 \begin {gather*} \frac {x^{2} + 3}{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 = 0.13 \begin {gather*} x + \frac {3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.39, size = 7, normalized size = 0.30 \begin {gather*} x + \frac {3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.02, size = 7, normalized size = 0.30 \begin {gather*} x+\frac {3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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