Trigonometric EquationHard

Question

∫ log dx is equal to

Options

A.log²(tanx - x) + c

B.log² + c

C.2log² + c

D.log(tanx - x) + c

Solution

I = ∫ log(tan x - x) dx
Put log(tanx - x) = t
⇒ I = ∫ t dt = + c
⇒ I = log²(tan x - x) + c

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