1.

Write a value of ∫ ex secx (1+tanx) dx.

Answer»

Given, 

∫ ex sec x( 1 + tan x) dx 

= ∫ ex (sec x + sec x tan x) dx 

= ex sec x + c 

∵∫ex (f(x) +f'(x)) dx = ex f(x)+c



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