Integrate: csc x dx

Nevermind. Found the solution:

1) Multiply by (csc x + cot x)/(csc x + cot x)
2) Substite u = csc x + cot x into integral
3) Comes out to -du/u
4) Integrates to -ln |u| + c
5) Equals -ln |csc x + cot x| + c