Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The curve $y = \sin x \cos 2x$ is drawn for $0 \leq x \leq \pi$, and the maximum point $M$ has $x = a$. The shaded area enclosed by the curve and the $x$-axis is labelled $R$.
(a)[5]

Determine the value of $a$ correct to $2$ decimal places.

(b)[4]

Find the exact area of region $R$, and give your answer in its simplest form.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the correct product rule.

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