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The area bounded by y=x^(2),y=[x+1], 0 l...

The area bounded by `y=x^(2),y=[x+1], 0 le x le 2` and the y-axis is where `[.]` is greatest integer function.

A

`(1)/(3)`

B

`(sqrt(2))/(3)`

C

1

D

`(7)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B

`"Area "overset(1)underset(0)int(1-x^(2))dx+overset(sqrt(2))underset(1)int(1-x^(2))dx=[x-(x^(3))/(3)]_(0)^(1)+[x-(x^(3))/(3)]_(1)^(sqrt(2))`
`=(sqrt(2))/(3)`
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