The area enclosed by the curves y=sinx+c...

The area enclosed by the curves `y=sinx+cosx` and `y=|cosx-sinx|` over the interval `[0,pi//2]` is

A

`4(sqrt(2)-1)`

B

`2sqrt(2)(sqrt(2)-1)`

C

`2(sqrt(2)+1)`

D

`2sqrt(2)(sqrt(2)+1)`

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The correct Answer is:

B

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