(i)[5]
Find $\frac{dy}{dx}$ and show that $4\frac{d^2y}{dx^2} + y + 4\sin\frac{1}{2}x = 0$.
(ii)[5]
Find the exact value of the area enclosed by this section of the curve and the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The curve $y = x\cos\frac{1}{2}x$ is shown in the diagram for $0 \le x \le \pi$.