1. The problem statement, all variables and given/known data Evaluate the line integral ∫c y2 dx + 2xy dy, where C, is the path from (1, 2) to (2, 4) parametrised by r(t) = (t2 + 1)i + (2t2 + 2)j , 0 ≤ t ≤ 1 2. Relevant equations I worked out the velocity magnitude |v(t)| as 2t√5 3. The attempt at a solution I simply integrated the velocity with respect to t from 0 to 1. and got 56, but then I don't see why I needed that first equation. Are we supposed to do dot product or something first?