9709 P33 - Nov 2023 - Q10
1755
The diagram shows the curve \(y = x \cos 2x\), for \(x \geq 0\).
(a) Find the equation of the tangent to the curve at the point where \(x = \frac{1}{2} \pi\).
(b) Find the exact area of the shaded region shown in the diagram, bounded by the curve and the \(x\)-axis.
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