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If int(-pi//4)^(3pi//4)(e^(pi//4)dx)/((e...

If `int_(-pi//4)^(3pi//4)(e^(pi//4)dx)/((e^(x)+e^(pi//4))(sinx+cosx))=kint_(-pi//2)^(pi//2) sec x dx`, then the value of `k` is

A

`(1)/(2)`

B

`(1)/(sqrt2)`

C

`(1)/(2sqrt2)`

D

`-(1)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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