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