(i)[4]
Find the exact $x$-coordinate of point $M$.
(ii)[5]
Determine the exact value of the area of the shaded region enclosed by the curve and the positive $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts a section of the curve $y = (2x - x^2)e^{\frac{1}{2}x}$ together with its maximum point $M$.