`int(cot^(2)x)/((cosec^(2)x+cosec x))dx=`

int (sec^2x)/(cosec^2x) dx

int sec^(2)x. cosec^(2)x dx

int(cot^2x-cosec^2x)/x^2dx

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

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

int (cot x)/((cosec x - cot x)) dx = ?

(1) int cot^(2)x,*cosec^(2)xdx

int ("cosec"^(2)x)/((1-cot^(2)x))dx=?

If int(cosec^(2)x)/((cosec x+cot x)^(9/2))dx =(cosec x-cot x)^(7/2)((1)/(alpha)+((cosec x-cot x)^(2))/(11))+C (where C is constant of integration and a in N ),then a is -