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The area bounded by the curves x+y=2 and...

The area bounded by the curves `x+y=2` and `y=x^2` above x-axis in the first quadrant is ,

A

`(1)/(2)`

B

`(2)/(3)`

C

`(10)/(12)`

D

`(6)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`"Solving "x+y=2& y=x^(2)" "rArr x=-2,1`
`therefore" area of OBAM "=int_(0)^(1)x^(2)dx+int_(1)^(2)(2-x)dx`
`=(1)/(3)+(2x-(x^(2))/(2)):|_(1)^(2)" "=(5)/(6)=(10)/(12)`
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