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Find the area bounded by the y-axis, y=c...

Find the area bounded by the y-axis, `y=cosx ,a n dy=sinxw h e n0lt=xlt=pi/2dot`

A

`(sqrt(2)-1)`

B

`2(sqrt(2)-1)`

C

`(sqrt(2)+1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Required are

`=int_(0)^(pi//4)(cosx-sinx)dx`
`=(sinx+cosx)|_(0)^(pi//4)`
`=(sqrt(2)-1)`sq units.
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