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Find the area enclosed by the curves x^2...

Find the area enclosed by the curves `x^2=y , y=x+2` and x-axis

Text Solution

Verified by Experts

The correct Answer is:
`(5)/(6)` sq. units

`"Required area ="int_(-2)^(-1)(x+2)dx+int_(-1)^(0)x^(2)dx`
`=|(x^(2))/(2)+2x|_(-2)^(-1)+|(x^(3))/(3)|_(-1)^(0)`
`=((1)/(2)-2)-(2-4)+(0+(1)/(3))`
`=(5)/(6)` sq. units.
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