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

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

int(1)/(cos x . cot x ) dx

int(1)/(cos x . cot x ) dx

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

If (cot x+(cot^(2)x)/(2)+(cot^(3)x)/(3)+...+(cot^(99)x)/(99))+ int(1+cot x)(1+cot^(99)x)dx =-lambda[int cot^(2)xdx+int cot^(3)xdx+int cot^(4)xdx+...+int cot^(98)xdx] , then value of lambda is equal to

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

int (1-cot x)cosec^(2) x dx equals :

int e^x(1-cotx + cot^2x) dx =

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

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