Optimal. Leaf size=13 \[ -7+e^4+\frac {x}{\log (3)}+\log (29) \]
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Rubi [A]
time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.46, number of steps
used = 1, number of rules used = 1, integrand size = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, Rules used = {8}
\begin {gather*} \frac {x}{\log (3)} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {x}{\log (3)}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 6, normalized size = 0.46 \begin {gather*} \frac {x}{\log (3)} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.17, size = 7, normalized size = 0.54
method | result | size |
default | \(\frac {x}{\ln \left (3\right )}\) | \(7\) |
norman | \(\frac {x}{\ln \left (3\right )}\) | \(7\) |
risch | \(\frac {x}{\ln \left (3\right )}\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.25, size = 6, normalized size = 0.46 \begin {gather*} \frac {x}{\log \left (3\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.38, size = 6, normalized size = 0.46 \begin {gather*} \frac {x}{\log \left (3\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 3, normalized size = 0.23 \begin {gather*} \frac {x}{\log {\left (3 \right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 6, normalized size = 0.46 \begin {gather*} \frac {x}{\log \left (3\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 6, normalized size = 0.46 \begin {gather*} \frac {x}{\ln \left (3\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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