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int0 ^(pi/4) sqrt(1+ sin 2x) dx...

`int_0 ^(pi/4) sqrt(1+ sin 2x) dx`

A

`0`

B

`1`

C

`2`

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`I=int_(0)^(pi//4)sqrt(cos^(2)x+sin^(2)x+2sinxcosx)dx=int_(0)^(pi//4)(cosx+sinx)dx`
`=[sinx-cosx]_(0)^(pi//4)=1`.
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