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" 5.Prove "int sec xdx=log|sec x+tan x|+...

" 5.Prove "int sec xdx=log|sec x+tan x|+c

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

int sec x log (sec x+tan x) dx.

int sec x log (sec x+ tan x)dx=

int secx. log (sec x+ tan x ) dx

int secx. log (sec x+ tan x ) dx

int sec x ln(sec x+tan x)dx=

int sec x ln(sec x+tan x)dx=

int(sec x)/(ln(sec x+tan x))

(i) int sec x dx=|log| tanx|+c (ii) int sec dx=log |secx+tanx|+c

int sec x*tan xdx