Number of solution of the equation d/(dx...

Number of solution of the equation `d/(dx)int_(cosx)^(sinx)(dt)/(1-t^2)=2sqrt(2)in[0,pi]` is

A

4

B

3

C

2

D

0

Verified by Experts

The correct Answer is:

C

LHS = `"sec" x + "cosec"x = 2sqrt(2)`
`implies x = (pi)/4 and (11 pi)/(12)`.

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