(a)[5]
Determine the exact coordinates of $M$.
(b)[5]
Determine the area of the shaded region enclosed by the curve and the axes, and give your answer in terms of $e$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates a section of the curve $y = (3 - x)e^{-\frac{x}{3}}$ for $x \geq 0$, together with its minimum point $M$.