Indefinite IntegrationHard

Question

The value of dx equals :

Options

A. (ln |x| - 2) + C   
B. (ln |x| + 2) + C
C. (ln |x| - 2) + C
D.2 (3 ln |x| - 2) + C

Solution

I = dx   Put 1 + ln| x | = t2,     then dx = 2t dt
⇒ I = . 2t dt   = 2 + C = (ln |x| – 2) + C

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