Integral of csc2 of a quadratic factor:
If the correct factors are present, this can be handled by the integral resulting in the cotangent:
, where 
; 
.
Hence a combination of factors in the original problem can be replaced: 
With this substitution, we get 
Finally, we substitute for u to get the result in terms of x:
Notice that the argument of the resulting trig function is the same as that in the original problem.