Optimal. Leaf size=18 \[ -3 x+\log \left (\frac {2 e^8 x^2}{-1+e}\right ) \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.44, 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*} 2 \log (x)-3 x \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 43
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-3+\frac {2}{x}\right ) \, dx\\ &=-3 x+2 \log (x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 8, normalized size = 0.44 \begin {gather*} -3 x+2 \log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.96, size = 8, normalized size = 0.44 \begin {gather*} -3 \, x + 2 \, \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.14, size = 9, normalized size = 0.50 \begin {gather*} -3 \, x + 2 \, \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.01, size = 9, normalized size = 0.50
method | result | size |
default | \(-3 x +2 \ln \relax (x )\) | \(9\) |
norman | \(-3 x +2 \ln \relax (x )\) | \(9\) |
risch | \(-3 x +2 \ln \relax (x )\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.37, size = 8, normalized size = 0.44 \begin {gather*} -3 \, x + 2 \, \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.02, size = 8, normalized size = 0.44 \begin {gather*} 2\,\ln \relax (x)-3\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.06, size = 7, normalized size = 0.39 \begin {gather*} - 3 x + 2 \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________