Optimal. Leaf size=17 \[ \frac {e^{e^{e^3+x}} x^2}{\log (5)} \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.02, antiderivative size = 17, normalized size of antiderivative = 1.00, number of steps
used = 2, number of rules used = 2, integrand size = 29, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.069, Rules used = {12, 2326}
\begin {gather*} \frac {e^{e^{x+e^3}} x^2}{\log (5)} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 12
Rule 2326
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {\int e^{e^{e^3+x}} \left (2 x+e^{e^3+x} x^2\right ) \, dx}{\log (5)}\\ &=\frac {e^{e^{e^3+x}} x^2}{\log (5)}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.01, size = 17, normalized size = 1.00 \begin {gather*} \frac {e^{e^{e^3+x}} x^2}{\log (5)} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.30, size = 15, normalized size = 0.88
method | result | size |
norman | \(\frac {x^{2} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}+x}}}{\ln \left (5\right )}\) | \(15\) |
risch | \(\frac {x^{2} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}+x}}}{\ln \left (5\right )}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.29, size = 14, normalized size = 0.82 \begin {gather*} \frac {x^{2} e^{\left (e^{\left (x + e^{3}\right )}\right )}}{\log \left (5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.39, size = 14, normalized size = 0.82 \begin {gather*} \frac {x^{2} e^{\left (e^{\left (x + e^{3}\right )}\right )}}{\log \left (5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.07, size = 14, normalized size = 0.82 \begin {gather*} \frac {x^{2} e^{e^{x + e^{3}}}}{\log {\left (5 \right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.42, size = 14, normalized size = 0.82 \begin {gather*} \frac {x^{2} e^{\left (e^{\left (x + e^{3}\right )}\right )}}{\log \left (5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.08, size = 15, normalized size = 0.88 \begin {gather*} \frac {x^2\,{\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^3}\,{\mathrm {e}}^x}}{\ln \left (5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________