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Find the area bounded by the curves x+2|...

Find the area bounded by the curves x+2|y|=1 and x=0.

A

`3//4`

B

`1//2`

C

`1//3`

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
B
`because" "overset(b)underset(0)int(1-x^(2))dx-overset(1)underset(b)int(1-x)^(2)dx=(1)/(4)`

`rArr" "(x-1)^(2)/(3):|_(0)^(b)-(x-1)^(3)/(3):|_(b)^(1)=(1)/(4)`
`rArr" "(b-1)^(3)/(3)+(1)/(3)-(0-(b-1)^(3)/(3))=(1)/(4)`
`"or "(2(b-1)^(3))/(3)=-(1)/(12)`
`"or "(b-1)^(3)=-(1)/(8) or b=(1)/(2)`
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