Optimal. Leaf size=11 \[ 5+4 e^{8+2 x} \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.82, number of steps
used = 2, number of rules used = 2, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.222, Rules used = {12, 2225}
\begin {gather*} 4 e^{2 x+8} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 12
Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=8 \int e^{8+2 x} \, dx\\ &=4 e^{8+2 x}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 9, normalized size = 0.82 \begin {gather*} 4 e^{8+2 x} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.06, size = 9, normalized size = 0.82
method | result | size |
gosper | \(4 \,{\mathrm e}^{2 x +8}\) | \(9\) |
derivativedivides | \(4 \,{\mathrm e}^{2 x +8}\) | \(9\) |
default | \(4 \,{\mathrm e}^{2 x +8}\) | \(9\) |
norman | \(4 \,{\mathrm e}^{2 x +8}\) | \(9\) |
risch | \(4 \,{\mathrm e}^{2 x +8}\) | \(9\) |
meijerg | \(-4 \,{\mathrm e}^{2 x -2 x \,{\mathrm e}^{8}} \left (1-{\mathrm e}^{2 x \,{\mathrm e}^{8}}\right )\) | \(23\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.27, size = 8, normalized size = 0.73 \begin {gather*} 4 \, e^{\left (2 \, x + 8\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.37, size = 8, normalized size = 0.73 \begin {gather*} 4 \, e^{\left (2 \, x + 8\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.02, size = 7, normalized size = 0.64 \begin {gather*} 4 e^{2 x + 8} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.39, size = 8, normalized size = 0.73 \begin {gather*} 4 \, e^{\left (2 \, x + 8\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.03, size = 8, normalized size = 0.73 \begin {gather*} 4\,{\mathrm {e}}^{2\,x}\,{\mathrm {e}}^8 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________