Evaluate: ∫ (√tan x – √cot x) dx
∫ (√tan x – √cot x) dx
= ∫ (√tan x – (1/ √tan x)) dx
= ∫ (tan x – 1/ √tan x) dx
Put tan x = t2
= sec2 x dx = 2t dt
= dx = 2t dt/ sec2 x
= 2t dt/ 1 + tan2 x
= 2t dt/ 1 + t4
