(a)[4]
Find the exact coordinates of $M$.
(b)[5]
By using the substitution $x = \sqrt{u}$, or by another method, determine by integration the exact area of the shaded region enclosed by the curve, the $x$-axis and the line $x = 3$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curve $y = x e^{-\frac{1}{4}x^2}$, with $x \geq 0$, together with its maximum point $M$.