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If int sqrt(1+secx)dx=2sin^(- 1)[sqrt(2)...

If `int sqrt(1+secx)dx=2sin^(- 1)[sqrt(2)f(x)]+c` then `d/(dx)[f(x)]` is equal to (A) cos `x/2` (B) `-1/2`cos `x/2` (C) `1/2`cos `x/2` (D) `1/2`sin `x/2`

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