Indefinite IntegrationHard

Question

The value of d x is equal to :

Options

A.ln |sin x| + sin x + C
B.ln |sin x| - sin x + C
C.- ln |sin x| - sin x + C
D.- ln |sin x| + sin x + C

Solution

I =       Put sin x = t , then cos x dx = dt
⇒  I = = ln | t | - t + C = ln |sin x| - sin x + C

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