Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram displays a section of the curve $y = (2x - x^2) e^{\frac{1}{2}x}$ and its maximum point $M$.

(i)[4]

Find the exact $x$-coordinate belonging to $M$.

(ii)[5]

Find the exact area of the shaded region enclosed by the curve and the positive $x$-axis.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the appropriate product rule” …