The area of the region, bounded by the c...

The area of the region, bounded by the curves `y=sin^(-1)x+x(1-x)` and `y=sin^(-1)x-x(1-x)` in the first quadrant is-

A

1

B

`(1)/(2)`

C

`(1)/(3)`

D

`(1)/(4)`

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