Evaluate the following integrals: `int(cos^(9)x)/(sinx)dx`

1.	Evaluate the following integrals: `int(cos^(9)x)/(sinx)dx`
Answer» Correct Answer - `log\|sinx\|-2sin^(2)x+(3)/(2)sin^(4)x-(2)/(3)sin^(6)x+(1)/(8)sin^(8)x+C` `I=int(cos^(8)xcosx)/(sinx)dx=int((1-sin^(2)x)cosx)/(sinx)dx`. Put sin x=t.

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