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

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

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

int (sec x cosec x)/(2 cot x- sec x cosec x)dx=

int(1)/(sqrt(cosec^(2)x+cot^(2)x))dx=

int(1)/(sqrt(cosec^(2)x+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 -

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

int(1)/(sqrt("cosec"^(2)x+cot^(2)x))dx=