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Integration
∫ cosec²x log ( sec x ) dx
use Integration by parts
take log ( secx ) as a first function
then ,
log (sec x )× ∫ cosec²x - ∫( 1/ secx )× sec x tan x × -cot x dx
= log (sec x ) × (- cot x ) + ∫ tan x × cot x dx
= log (sec x ) × (- cot x ) + x + c
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