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

The area of the region bounded by the graph of `y =sin x ` and `y = cos x ` between x = 0 and `x= ( pi)/( 4)` is

A

`int_(0)^((pi)/( 4)) ( cos x - sin x ) dx `

B

`[ sin x + cos x ]_(0)^((pi)/( 4))`

C

`int_(0)^((pi)/( 4)) ( sin x - cos x ) d x `

D

`sqrt( 2) - 1 `

Text Solution

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The correct Answer is:
`int_(0)^((pi)/( 4)) ( sin x - cos x ) d x `
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