Find the area bounded by the following curve :
(i) `f(x) = sinx, g(x) = sin^(2)x, 0 le x le 2pi`
(ii) `f(x) = sinx, g(x) = sin^(4)x, 0 le x le 2pi`

Explanation

To find the area bounded by the curves \( f(x) = \sin x \) and \( g(x) = \sin^2 x \) for \( 0 \leq x \leq 2\pi \), we will follow these steps:

### Part (i): Area Bounded by \( f(x) = \sin x \) and \( g(x) = \sin^2 x \)

**Step 1: Identify the points of intersection.**
To find the area between the curves, we first need to find the points where they intersect. We set:
\[
\sin x = \sin^2 x
...