If m f$($x$)$ M for a x b$,$ where m is the absolute minimum and M is the absolute maximum of fon the interval $[$a$,$ b$],$ then m$($b$-$a$)$ the limit from a to b f$($x$)$dx M$($b$-$a$)$ use this property to estimate the value of the integral: $\_0^23$xe$^-$x dx

If $mf(x)M$ for $axb,$ where $m$ is the absolute minimum and $M$ is the absolute maximum of $f$ on the interval $[a,b],$ then

$m(b-a){\displaystyle \underset{a}{\overset{b}{}}}f(x)dxM(b-a)$

Use this property to estimate the value of the integral.

${\displaystyle \underset{0}{\overset{2}{}}}3x{e}^{-x}dx$

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