The diagram shows the curve \(y = 5 \sin^2 x \cos^3 x\) for \(0 \leq x \leq \frac{1}{2} \pi\), and its maximum point \(M\). The shaded region \(R\) is bounded by the curve and the \(x\)-axis.

(i) Find the \(x\)-coordinate of \(M\), giving your answer correct to 3 decimal places.

(ii) Using the substitution \(u = \sin x\) and showing all necessary working, find the exact area of \(R\).