Area enclosed by the curves y=sinx+cosx ...

Area enclosed by the curves `y=sinx+cosx and y=abs(cosx-sinx)` and the lines `x=0 and x= pi/2`

A

`2sqrt2 (sqrt2 +1)`

B

`2sqrt2 (sqrt2 - 1)`

C

`4 (sqrt2 - 1)`

D

`2(sqrt2 + 1)`

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The correct Answer is:

B

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