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

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

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

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

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

int cosec^(2)(x)/(3)dx

Using the result int(dx)/(sqrt(x^(2)+a^(2)))=log|xsqrt(x^(2)+a^(2))|+C , Evaluate int(-"cosec"^(2)xdx)/(sqrt(cot^(2)x+9))

int (dx)/(sqrt(cosec 4x - cot 4x))

Evaluate : (i) int(sinx)/((1-4cos^(2)x))dx (ii) int("cosec"^(2)x)/((1-cot^(2)x))dx

int _(0) ^(pi//2) sqrt((sec x - tan x )/(sec x + tan x )) (cosec x )/(sqrt(1 +2 cosec x ))dx

int(Cot^(2)x)/((cosec^(2)x+cosec x))dx