Optimal. Leaf size=5 \[ \log (x+\log (x)) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.03, antiderivative size = 5, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {6816}
\begin {gather*} \log (x+\log (x)) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 6816
Rubi steps
\begin {gather*} \begin {aligned} \text {Integral} &=\log (x+\log (x))\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.01, size = 5, normalized size = 1.00 \begin {gather*} \log (x+\log (x)) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.10, size = 6, normalized size = 1.20
method | result | size |
default | \(\ln \left (x +\ln \left (x \right )\right )\) | \(6\) |
norman | \(\ln \left (x +\ln \left (x \right )\right )\) | \(6\) |
risch | \(\ln \left (x +\ln \left (x \right )\right )\) | \(6\) |
parallelrisch | \(\ln \left (x +\ln \left (x \right )\right )\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.38, size = 5, normalized size = 1.00 \begin {gather*} \log \left (x + \log \left (x\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.57, size = 5, normalized size = 1.00 \begin {gather*} \log \left (x + \log \left (x\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.04, size = 5, normalized size = 1.00 \begin {gather*} \log {\left (x + \log {\left (x \right )} \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.51, size = 5, normalized size = 1.00 \begin {gather*} \log \left (x + \log \left (x\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.11, size = 5, normalized size = 1.00 \begin {gather*} \ln \left (x+\ln \left (x\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Chatgpt [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {not solved} \end {gather*}
Warning: Unable to verify antiderivative.
[In]
[Out]
________________________________________________________________________________________