Optimal. Leaf size=11 \[ e^{1+(8-x)^2} \]
________________________________________________________________________________________
Rubi [A] time = 0.01, antiderivative size = 10, normalized size of antiderivative = 0.91, number of steps used = 1, number of rules used = 1, integrand size = 16, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.062, Rules used = {2236} \begin {gather*} e^{x^2-16 x+65} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 2236
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{65-16 x+x^2}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.03, size = 10, normalized size = 0.91 \begin {gather*} e^{65-16 x+x^2} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.62, size = 9, normalized size = 0.82 \begin {gather*} e^{\left (x^{2} - 16 \, x + 65\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.21, size = 9, normalized size = 0.82 \begin {gather*} e^{\left (x^{2} - 16 \, x + 65\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.04, size = 10, normalized size = 0.91
method | result | size |
gosper | \({\mathrm e}^{x^{2}-16 x +65}\) | \(10\) |
derivativedivides | \({\mathrm e}^{x^{2}-16 x +65}\) | \(10\) |
default | \({\mathrm e}^{x^{2}-16 x +65}\) | \(10\) |
norman | \({\mathrm e}^{x^{2}-16 x +65}\) | \(10\) |
risch | \({\mathrm e}^{x^{2}-16 x +65}\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.43, size = 9, normalized size = 0.82 \begin {gather*} e^{\left (x^{2} - 16 \, x + 65\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.07, size = 11, normalized size = 1.00 \begin {gather*} {\mathrm {e}}^{-16\,x}\,{\mathrm {e}}^{x^2}\,{\mathrm {e}}^{65} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.08, size = 8, normalized size = 0.73 \begin {gather*} e^{x^{2} - 16 x + 65} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________