Optimal. Leaf size=17 \[ \frac {5+x (147+\log (5))^4}{5 x} \]
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Rubi [A] time = 0.00, antiderivative size = 3, normalized size of antiderivative = 0.18, number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {30} \begin {gather*} \frac {1}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 3, normalized size = 0.18 \begin {gather*} \frac {1}{x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.74, size = 3, normalized size = 0.18 \begin {gather*} \frac {1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.13, size = 3, normalized size = 0.18 \begin {gather*} \frac {1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 4, normalized size = 0.24
method | result | size |
gosper | \(\frac {1}{x}\) | \(4\) |
default | \(\frac {1}{x}\) | \(4\) |
norman | \(\frac {1}{x}\) | \(4\) |
risch | \(\frac {1}{x}\) | \(4\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 3, normalized size = 0.18 \begin {gather*} \frac {1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 3, normalized size = 0.18 \begin {gather*} \frac {1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 2, normalized size = 0.12 \begin {gather*} \frac {1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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