The diagram depicts the curve given by equation $y = 4\cos 2x + 8\sin x$ for $0 \leq x \leq \pi$. The curve’s maximum points are labelled $A$ and $B$, and the shaded region is enclosed by the line segment $AB$ and the curve.
(a)[5]
Find the coordinates for $A$ and $B$.
(b)[6]
Find the exact area of the shaded region.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get $-8\sin2x+8\cos x$” …