am stuck on the integration part, so far I have
x = cost , y = sint
dx = -sint dt dy = cost dt
subbing in the values for x,y, dx and dy
how do I simply / integrate this expression ?
I am puzzled by this. The given problem, to integrate , I presume around the unit circle, is not difficult but it is a typical "Calculus III" or "Calculus of several variables" problem while the part you are stuck on is standard "Calculus I". You need a review! Go back to your Calculus I text and look at the chapter on trig integrals.