int(1)/(1+cot x)rArr

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Integrate int(1)/(1+cot x)dx

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

int(1)/(csc x-cot x)dx=

int(xdx)/(1-x cot x)=

int(dx)/(1+cot x)1+cot x

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

inte^(x) ( 1- cot x + cot^(2) x) dx is eqal to

int(1)/(cos x . cot x ) dx