(i)[5]
Determine the $x$-coordinate of $M$.
(ii)[5]
By using the substitution $u = \cos x$, 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 graph shows the curve $y = 5\sin^3 x \cos^2 x$ for $0 \leq x \leq \frac{1}{2}\pi$, together with its highest point $M$.