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The area bounded by the y-axis, y = cos...

The area bounded by the y-axis, `y = cos x`and `y = sin x` when `0lt=xlt=pi/2`is(A) `2(sqrt(2-1))` (B) `sqrt(2)-1` (C) `sqrt(2)+1` (D) `sqrt(2)`

Text Solution

Verified by Experts

The required area is `=>∫_0^(π/4)(cosx-sinx)dx`
`=>(cosx+sinx)_0^(π/4)`
`=>1/(√2)+1/(√2)-1`
`=>sqrt(2)-1` units
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