Optimal. Leaf size=9 \[ 3+x+\log \left (\frac {25}{x^2}\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.67, number of steps
used = 2, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {45}
\begin {gather*} x-2 \log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 45
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (1-\frac {2}{x}\right ) \, dx\\ &=x-2 \log (x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 6, normalized size = 0.67 \begin {gather*} x-2 \log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.18, size = 7, normalized size = 0.78
method | result | size |
default | \(x -2 \ln \left (x \right )\) | \(7\) |
norman | \(x -2 \ln \left (x \right )\) | \(7\) |
risch | \(x -2 \ln \left (x \right )\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.31, size = 6, normalized size = 0.67 \begin {gather*} x - 2 \, \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.35, size = 6, normalized size = 0.67 \begin {gather*} x - 2 \, \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.01, size = 5, normalized size = 0.56 \begin {gather*} x - 2 \log {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.46, size = 7, normalized size = 0.78 \begin {gather*} x - 2 \, \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.01, size = 6, normalized size = 0.67 \begin {gather*} x-2\,\ln \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________