(a(i))[6]
Determine the $x$-coordinate of $M$.
(a(ii))[4]
By using the substitution $u = \sin x$, calculate by integration the area of the shaded region enclosed by the curve and the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates the curve $y = \sin^2 2x \cos x$ for $0 \leq x \leq \tfrac{1}{2}\pi$, together with its highest point $M$.