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The area of the region bounded by the cu...

The area of the region bounded by the curve `x=2y+3` and the lines `y=1, y=-1` is

A

`4" sq units"`

B

`3/2" sq units"`

C

`6" sq units"`

D

`8" sq unit"`

Text Solution

Verified by Experts

The correct Answer is:
C
Required area, `A=int_(-1)^(1)(2y+3)dy`

`=[(2y^(2))/2+3y]_(-1)^(1)`
`=[y^(2)+3y]_(-1)^(1)`
`[1+3-1+3]=6" sq units"`
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