(i)[3]
Show that the $x$-coordinate of $M$ is $2$.
(ii)[6]
Find the exact value for $\int_{0}^{2} x^2 e^{2-x} \, dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the curve $y = x^2 e^{2-x}$ together with its maximum point $M$.