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int[(1)/(1-cot x)]d...

int[(1)/(1-cot x)]d

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

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

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

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

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

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

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

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

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