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

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

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

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

Evaluate: (i) int(sec x tan x)/(3sec x+5)dx (ii) int(1-cot x)/(1+cot x)dx

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

Evaluate: ( i int(cos x)/(1-cos x)dx or int(cot x)/(csc x-cot x)dx (ii) int(cos^(2)x-sin^(2)x)/(sqrt(1+cos4x))dx

2. int ( 1-cot^2x)dx

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

Evaluate: int(csc^(2)x)/(1+cot x)dx

Evaluate: int(8cot x+1)/(3cot x+2)dx