Optimal. Leaf size=15 \[ x-2 \log (-3+x)-\frac {10}{\log (\log (2))} \]
________________________________________________________________________________________
Rubi [A] time = 0.01, antiderivative size = 10, normalized size of antiderivative = 0.67, 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 = {43} \begin {gather*} x-2 \log (3-x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 43
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (1-\frac {2}{-3+x}\right ) \, dx\\ &=x-2 \log (3-x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 8, normalized size = 0.53 \begin {gather*} x-2 \log (-3+x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.69, size = 8, normalized size = 0.53 \begin {gather*} x - 2 \, \log \left (x - 3\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.13, size = 9, normalized size = 0.60 \begin {gather*} x - 2 \, \log \left ({\left | x - 3 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.14, size = 9, normalized size = 0.60
method | result | size |
default | \(x -2 \ln \left (x -3\right )\) | \(9\) |
norman | \(x -2 \ln \left (x -3\right )\) | \(9\) |
risch | \(x -2 \ln \left (x -3\right )\) | \(9\) |
meijerg | \(-2 \ln \left (1-\frac {x}{3}\right )+x\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.34, size = 8, normalized size = 0.53 \begin {gather*} x - 2 \, \log \left (x - 3\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.04, size = 8, normalized size = 0.53 \begin {gather*} x-2\,\ln \left (x-3\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.07, size = 7, normalized size = 0.47 \begin {gather*} x - 2 \log {\left (x - 3 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________