(i)[5]
Find the $x$-coordinate of $M$. Show all necessary working and give your answer correct to 2 decimal places.
(ii)[7]
Using the substitution $u = \cos x$ first, find the exact value of the area of $R$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the graph of $y = e^{\cos x} \sin^3 x$ for $0 \leq x \leq \pi$, together with its maximum point $M$. The shaded region $R$ lies between the curve and the $x$-axis.