Optimal. Leaf size=13 \[ -\frac{1}{2} e^{2-x^2} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0093858, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091, Rules used = {2209} \[ -\frac{1}{2} e^{2-x^2} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2209
Rubi steps
\begin{align*} \int e^{2-x^2} x \, dx &=-\frac{1}{2} e^{2-x^2}\\ \end{align*}
Mathematica [A] time = 0.0020969, size = 13, normalized size = 1. \[ -\frac{1}{2} e^{2-x^2} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.018, size = 11, normalized size = 0.9 \begin{align*} -{\frac{{{\rm e}^{-{x}^{2}+2}}}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.962511, size = 14, normalized size = 1.08 \begin{align*} -\frac{1}{2} \, e^{\left (-x^{2} + 2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0.762508, size = 26, normalized size = 2. \begin{align*} -\frac{1}{2} \, e^{\left (-x^{2} + 2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.083658, size = 8, normalized size = 0.62 \begin{align*} - \frac{e^{2 - x^{2}}}{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.26808, size = 14, normalized size = 1.08 \begin{align*} -\frac{1}{2} \, e^{\left (-x^{2} + 2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]