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Fide the area bounded by y=sin^(-1)(sin ...

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

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In the graph of `y=sin^(-1)(sin x), x in [0, 100pi]`, there are 50 triangles above the x-axis and 50 triangles below the x-axis.
Therefore required area, `A=100xx" Area of one triangle as shown in the following figure"`

`therefore" "A=100xx(1/2xxpi/2xxpi)=25pi^(2)`
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