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

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

Evaluate the integerals. int (1)/(1-cot x)dx

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

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

int_(0)^((pi)/(2)) (1)/(1 + cot x)dx

(i) int (1-tanx)/(1+tanx) dx (ii) int (1- cot x)/(1+ cot x) dx

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