Fide the area bounded by `y=sin^(-1)(sin x)` and the x-axis for `x in [0, 100pi]`.

Explanation

To find the area bounded by the curve \( y = \sin^{-1}(\sin x) \) and the x-axis for \( x \) in the interval \([0, 100\pi]\), we can follow these steps:

### Step 1: Understanding the Function
The function \( y = \sin^{-1}(\sin x) \) is periodic with a period of \( 2\pi \). Within each period, the function behaves as follows:
- For \( x \) in the interval \([0, \pi]\), \( y = x \).
- For \( x \) in the interval \([\pi, 2\pi]\), \( y = 2\pi - x \).

This pattern repeats for every \( 2\pi \) interval.
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