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

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

A

`7/2"sq units"`

B

`9/2" sq unit "`

C

`11/2 " sq unit"`

D

`13/2" sq units"`

Text Solution

Verified by Experts

The correct Answer is:
A
Required area, `A=int_(2)^(3)(x+1)dx=[x^(2)/2+x]_(2)^(3)`
`=[9/2+3-4/2-2]=[5/2+1]=7/2" sq units"`
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NCERT EXEMPLAR-APPLICATION OF INTEGRALS-Application Of Integrals
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