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The value of the integral I=int(0)^( pi/...

The value of the integral `I=int_(0)^( pi/4)[sin x+cos x](cos x-sin x)dx` is equal to (where,[.] denotes the greatest integer function)`

A

`sqrt(2)`

B

`2sqrt(2)`

C

`1`

D

`sqrt(2) - 1`

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The correct Answer is:
D
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