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

`(7)/(3)` sq. units

`(1)/(6)` sq. units

`(11)/(6)` sq. units

`(7)/(6)` sq. units

Text Solution

Verified by Experts

The correct Answer is:

Required area =Shaded region
`=overset(1)underset(0)int(x_(2)-x_(1))dy` (integrating along y-axis)
`=overset(1)underset(0)int[(1-y^(2))-(y-1)]dy`
`=(7)/(6)` sq. unit

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