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Let f(x) = minimum (x+1, sqrt(1-x))" for...

Let f(x) = minimum `(x+1, sqrt(1-x))" for all "x le 1.` Then the area bounded by y=f(x) and the x-axis is

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The correct Answer is:
7
Required area`=` shaded region
`=int_(0)^(1)(x_(2)-x_(1))dy=int_(0)^(1)[(1-y^(2))-(y-1)]dy`
`=(7)/(6)` sq. unit
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