1. The problem statement, all variables and given/known data Integral closed line Integral ∫F ds where F = <y+sin(x^2), x^2 + e^y^2> and C is the circle of radius 4 centered at origin. 2. Relevant equations 3. The attempt at a solution so ds = c'(t)dt I believe... where c(t) = <4cos(t),4sin(t)> c'(t) = <-4sin(t),4cos(t)> Then we have F = <y+sin^2(x),x^2+e^y^2> where y = 4sin(t) x = 4cos(t) F = <4sin(t)+sin^2(4cos(t)),(4cos(t))^2+e^(4sin(t))^2> F dot c'(t) = (-16sin^2(t) - 4sin(t)*sin^2(4cos(t))) + (64(cos(t)^3)) +(e^(4sin(t))^2)*4cos(t) and then take the integral of that with respect to dt from 0 to 2pi?