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What is the integral of #(cos^2x) / sinx#?

1 Answer

Mar 29, 2016

#int cos^2/sin x d x=l n(tan(x/2))+cos x+C#

Explanation:

#int cos^2/sin x d x= ?#

#cos^2 x=1-sin^2x#

#int(1-sin^2 x)/(sin x) d x=int (1/sin x-sin x)d x #

#int cos^2/sin x d x=int (d x)/sin x- int sin x d x#

#int cos^2/sin x d x=l n(tan(x/2))+cos x+C#

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