int2^(pi//4)(cosx-sinx) dx +int(pi//4)^(...

`int_2^(pi//4)(cosx-sinx)` dx +`int_(pi//4)^(5pi//4)(sinx-cosx)`dx+`int_(2pi)^(pi//4)(cosx-sinx)`dx is equal to

A

`sqrt2-2`

B

`2sqrt2-2`

C

`3sqrt2-2`

D

`4sqrt2-2`

Verified by Experts

The correct Answer is:

D

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