1. The problem statement, all variables and given/known data calculate the integral f · dr for the given vector field f(x, y) and curve C: f(x, y) = (x^2 + y^2) i; C : x = 2 + cos t, y = sin t, 0 ≤ t ≤ 2π (2pi) 2. Relevant equations Would the vector F simply be <(x^2+y^2),0> since there is no j component? The solution is 4pi and I'm getting zero. 3. The attempt at a solution integral of C = F · dr F = <((2+cos t)^2 + (sin t)^2),o> = <(5 + 4 cos t), 0> dr = <-sin t, cos t> Integral of C [0, 2pi] <(5 + 4 cos t), 0> · <-sin t, cos t> = 0 :( I'm thinking that my error lies in the vector I'm using for F.