Optimal. Leaf size=20 \[ -4+\log (2) \left (4+x+\log \left (e^3+e^{10 e^2}\right )\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.20, number of steps
used = 1, number of rules used = 1, integrand size = 2, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.500, Rules used = {8}
\begin {gather*} x \log (2) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x \log (2)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 4, normalized size = 0.20 \begin {gather*} x \log (2) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.25, size = 5, normalized size = 0.25
method | result | size |
default | \(x \ln \left (2\right )\) | \(5\) |
norman | \(x \ln \left (2\right )\) | \(5\) |
risch | \(x \ln \left (2\right )\) | \(5\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.28, size = 4, normalized size = 0.20 \begin {gather*} x \log \left (2\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.35, size = 4, normalized size = 0.20 \begin {gather*} x \log \left (2\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.00, size = 3, normalized size = 0.15 \begin {gather*} x \log {\left (2 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.39, size = 4, normalized size = 0.20 \begin {gather*} x \log \left (2\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.00, size = 4, normalized size = 0.20 \begin {gather*} x\,\ln \left (2\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________