int(dx)/(1+cot x)

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

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

int(dx)/(1+cot^(2)x)

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

Show that : int (dx)/(1 - cosx) = - ("cosec"x + cot x) + c

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

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

Prove that : int_(0)^(pi//2) (dx)/(1+cot x)=(pi)/(4)