`int(cotx+cot^3x)/(1+cot^3x)dx`

(i) int (1-tanx)/(1+tanx) dx (ii) int (1- cot x)/(1+ 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 ( x + cotx ) cot^2x dx

int cot^3 x dx

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

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

int e^(x) (1-cotx +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