Integrate ∫sec x dx. – InterviewSolution

1.

Integrate ∫sec x dx.

Answer»

∫ sec x dx

∫sec x(sec x + tan x)/(sec x + tan x) dx

∫(sec² x + sec x tan x)/(sec x + tan x) dx

Let, sec x + tan x = t

(sec x + tan x + sec² x) dx = dt

∫(dt/dt) = log_et = log_e(sec x + tan x) + c

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