Optimal. Leaf size=14 \[ x \left (-1+\log ^2(2) \log \left (\log \left (\frac {23}{3}\right )\right )\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 16, normalized size of antiderivative = 1.14, number of steps
used = 1, number of rules used = 1, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.083, Rules used = {8}
\begin {gather*} -x \left (1-\log ^2(2) \log \left (\log \left (\frac {23}{3}\right )\right )\right ) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-x \left (1-\log ^2(2) \log \left (\log \left (\frac {23}{3}\right )\right )\right )\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 15, normalized size = 1.07 \begin {gather*} -x+x \log ^2(2) \log \left (\log \left (\frac {23}{3}\right )\right ) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.17, size = 13, normalized size = 0.93
method | result | size |
default | \(\left (\ln \left (2\right )^{2} \ln \left (\ln \left (\frac {23}{3}\right )\right )-1\right ) x\) | \(13\) |
norman | \(\left (\ln \left (2\right )^{2} \ln \left (\ln \left (23\right )-\ln \left (3\right )\right )-1\right ) x\) | \(18\) |
risch | \(\ln \left (2\right )^{2} \ln \left (\ln \left (23\right )-\ln \left (3\right )\right ) x -x\) | \(19\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.29, size = 12, normalized size = 0.86 \begin {gather*} {\left (\log \left (2\right )^{2} \log \left (\log \left (\frac {23}{3}\right )\right ) - 1\right )} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.36, size = 13, normalized size = 0.93 \begin {gather*} x \log \left (2\right )^{2} \log \left (\log \left (\frac {23}{3}\right )\right ) - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.00, size = 14, normalized size = 1.00 \begin {gather*} x \left (-1 + \log {\left (2 \right )}^{2} \log {\left (\log {\left (\frac {23}{3} \right )} \right )}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.41, size = 12, normalized size = 0.86 \begin {gather*} {\left (\log \left (2\right )^{2} \log \left (\log \left (\frac {23}{3}\right )\right ) - 1\right )} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.00, size = 12, normalized size = 0.86 \begin {gather*} x\,\left ({\ln \left (2\right )}^2\,\ln \left (\ln \left (\frac {23}{3}\right )\right )-1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________