Optimal. Leaf size=16 \[ 12 (4+x) (4+3 x+x (-4+\log (2))) \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 15, normalized size of antiderivative = 0.94, number of steps used = 1, number of rules used = 0, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 12 (x+2)^2 \log (2)-12 x^2 \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-12 x^2+12 (2+x)^2 \log (2)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 23, normalized size = 1.44 \begin {gather*} 24 \left (-\frac {x^2}{2}+\frac {1}{2} x^2 \log (2)+x \log (4)\right ) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.53, size = 17, normalized size = 1.06 \begin {gather*} -12 \, x^{2} + 12 \, {\left (x^{2} + 4 \, x\right )} \log \relax (2) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.20, size = 17, normalized size = 1.06 \begin {gather*} -12 \, x^{2} + 12 \, {\left (x^{2} + 4 \, x\right )} \log \relax (2) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.02, size = 16, normalized size = 1.00
method | result | size |
gosper | \(12 x \left (x \ln \relax (2)+4 \ln \relax (2)-x \right )\) | \(16\) |
norman | \(\left (12 \ln \relax (2)-12\right ) x^{2}+48 x \ln \relax (2)\) | \(17\) |
default | \(\ln \relax (2) \left (12 x^{2}+48 x \right )-12 x^{2}\) | \(19\) |
risch | \(12 x^{2} \ln \relax (2)+48 x \ln \relax (2)-12 x^{2}\) | \(19\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.36, size = 17, normalized size = 1.06 \begin {gather*} -12 \, x^{2} + 12 \, {\left (x^{2} + 4 \, x\right )} \log \relax (2) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.03, size = 16, normalized size = 1.00 \begin {gather*} \left (12\,\ln \relax (2)-12\right )\,x^2+48\,\ln \relax (2)\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.05, size = 15, normalized size = 0.94 \begin {gather*} x^{2} \left (-12 + 12 \log {\relax (2 )}\right ) + 48 x \log {\relax (2 )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________