I came up with for the answer.
To get there I took after evaluating that integral I came up with my answer.
I don't know if its right.
Yes thats right.
As for putting in stuff like integral signs, limits, etc.. you use or you can just highlight what you want "wrapped" and press the sigma button when done typing it all up.
For this form:
You just type \int for the integral and for limits \int_{first limit}^{second limit} and then insert the rest of the integral. Theres also a "latex help" forum here with a thread concerning a tutorial that may help you out which is here: http://www.mathhelpforum.com/math-help/latex-help/