Indefinite IntegrationHard

Question

The value of dx is equal to

Options

A.ln - sec-1 (ex) + C   
B.ln + sec-1 (ex) + C   
C.ln - sec-1 (ex) + C   
D.none of these

Solution


 put ex = t   ⇒  ex dx = dt
⇒  I =
= ln - sec-1(t) + C,   where t = ex

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