`int cot^(3)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 cot^(2) x dx = ?

int(x cot^(2)x)dx

Evaluate : int cot^(3)x cosec^(4)x dx

int cot^(3) x. cosec^(2) x dx

Integration of trigonometric and hyperbolic functions (a) I = int cot^(6) x dx, (b) I = int tan^(3) x dx.

If f(x)=(1)/(3)cot^(3)x-cot x+int(cot^(4)x)dx and f((pi)/(2))=(pi)/(2) then f(x)=

int cot dx

(i) int sin^-1 x dx (ii) int cos^-1 x dx (iii) int cot^-1 x dx

int cot(3x)sin(2x)dx