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int (dx)/(sec x + "cosec x")...

`int (dx)/(sec x + "cosec x")`

A

`{(sin x + cos x )+1/sqrt(2) log |(tan x//2-1-sqrt(2))/(tan x//2-1+sqrt(2))|}+C`

B

`2{(sin x+ cos x)+1/sqrt(2)log |(tanx//2-1-sqrt(2))/(tan x//2-1+sqrt(2))|}+C`

C

`1/2{(cos x- sin x)+1/sqrt(2)log |(tanx//2-1-sqrt(2))/(tan x//2-1+sqrt(2))|}+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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