Optimal. Leaf size=16 \[ 5-3 \left (3-\log \left (\frac {16}{5}\right )-2 \log (x)\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.25, number of steps
used = 2, number of rules used = 2, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.400, Rules used = {12, 29}
\begin {gather*} 6 \log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 12
Rule 29
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=6 \int \frac {1}{x} \, dx\\ &=6 \log (x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 4, normalized size = 0.25 \begin {gather*} 6 \log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.00, size = 5, normalized size = 0.31
method | result | size |
default | \(6 \ln \left (x \right )\) | \(5\) |
norman | \(6 \ln \left (x \right )\) | \(5\) |
risch | \(6 \ln \left (x \right )\) | \(5\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.27, size = 4, normalized size = 0.25 \begin {gather*} 6 \, \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.35, size = 4, normalized size = 0.25 \begin {gather*} 6 \, \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.01, size = 3, normalized size = 0.19 \begin {gather*} 6 \log {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.39, size = 5, normalized size = 0.31 \begin {gather*} 6 \, \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 = 4, normalized size = 0.25 \begin {gather*} 6\,\ln \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________