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int(dy)/(1-cos x)...

int(dy)/(1-cos x)

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int(dx)/(1-cos x)

int(1)/(1-cos x)

int (dx)/(1-cos x) =

int(dx)/(1+cos x)=

int(sinxdx)/(1-cos x)=

(i) int(1)/((1+cos2x))dx , (ii) int (1)/((1-cos2x)) dx

int(1-cos x)/(cos x(1+cos x))dx

(dy)/(dx)=(1-cos x)/(1+cos x)

int(cos x)/(1-cos x)dx

int(tan y)/(cos y)dy