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

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

    ##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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