Indefinite IntegrationHard

Question

If I = dx = A cosx + B ln |f(x)| + C, then

Options

A.A = , B = , f(x) =
B.A = - , B = , f(x) =
C.A = - , B = , f(x) =
D.A = , B = , f(x) =

Solution

I =     put  cos x = t = - sin x dx = dt
I = -


= cosx - ln + C
A = , B = , f(x) = ln
or A = , B = , f(x) = ln

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