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

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

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

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

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

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

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

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