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S=integral, for this problem the upper limit was y, lower limit was x)

f(x,y)=S(t^2+2t+3)^17 dt and then it asked for Fx and Fy, but that wasn't my problem

so u=t^2+2t+3, du = 2t+2dt

so you get (1/(2t+2))(u^18)/18, plug everything back in for u, and you get that decent ball of poo, then plug in the limits so you get [ball of poo with y in place of t] - [ball of poo with x in place of t], then just differentiate, for Fx the first part is 0, so it's -[more poo] and Fy is just [some more poo]-0?

Edit: Hah, I typed you instead of u