Indefinite IntegrationHard

Question

The value of is equal to

Options

A.cosec α ln + C
B.cosec α ln + C
C.cosec α ln + C
D.cosec α ln + C

Solution



= cosec α
= cosec α [∫cot x dx - ∫ cot(x + α)] + C
= cosec α  [log |sin x| - log |sin (x + α)|] + C
= cosec α log + C

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