Optimal. Leaf size=7 \[ -390621-3 x+\log (x) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.86, 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 = {45}
\begin {gather*} \log (x)-3 x \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 45
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-3+\frac {1}{x}\right ) \, dx\\ &=-3 x+\log (x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 6, normalized size = 0.86 \begin {gather*} -3 x+\log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.08, size = 7, normalized size = 1.00
method | result | size |
default | \(\ln \left (x \right )-3 x\) | \(7\) |
norman | \(\ln \left (x \right )-3 x\) | \(7\) |
risch | \(\ln \left (x \right )-3 x\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.27, size = 6, normalized size = 0.86 \begin {gather*} -3 \, x + \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.37, size = 6, normalized size = 0.86 \begin {gather*} -3 \, x + \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.02, size = 5, normalized size = 0.71 \begin {gather*} - 3 x + \log {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.41, size = 7, normalized size = 1.00 \begin {gather*} -3 \, x + \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 = 0.86 \begin {gather*} \ln \left (x\right )-3\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________