(a)[4]
Determine the equation of the tangent to the curve at the point where $x = \tfrac{1}{2}\pi$.
(b)[5]
Calculate the exact area of the shaded part in the diagram, which is bounded by the curve and the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The curve shown in the diagram is $y = x \cos 2x$, with $x \geq 0$.