What is the integration of secx dx ?

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Answer 1 · 2018-03-24T11:25:38

Multiply and divide by, #sec x+tan x#

#int sec x dx = int (sec x (sec x+tan x))/(sec x+tan x) dx #

#= int (sec^2 x+sec x tan x)/(sec x+tan x) dx #

let #sec x+tan x =t#
therefore, #dt = (sec^2 x+sec x tan x)dx#

#= int dt/t#

#= ln |t| + C#

#= ln | sec x + tan x| + C#