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The area bounded by the curves y= "sin" ...

The area bounded by the curves `y= "sin"` x, y= cos x and y-axis in 1 quadrant is -

A

`sqrt(2)`

B

`sqrt(2) +1`

C

`sqrt(2)-1`

D

`sqrt(2)+2`

Text Solution

Verified by Experts

The correct Answer is:
C

Required area `=overset(pi//4)underset(0)int("cosx -sin x") " dx"`
`("sin" x + cos x")_(0)^(pi//4)`
`((1)/(sqrt(2))+(1)/(sqrt(2))) =(0+1) =sqrt(2)-1`
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