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int(0)^(pi//4)(cosx-sinx)dx+int(pi//4)^(...

`int_(0)^(pi//4)(cosx-sinx)dx+int_(pi//4)^(5pi//4)(sinx-cosx)dx+int_(2pi)^(pi//4)(cosx-sinx)dx` is equal to

A

`sqrt 2- 2`

B

`2sqrt2 - 2`

C

`3sqrt2 - 2`

D

`4 sqrt2 - 2`

Text Solution

Verified by Experts

The correct Answer is:
D
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