Integrate f(x,y) = (x^3)/y over the curve C: y = (x^2)/2, 0 <= x <= 2
The Attempt at a Solution
So far I'm only familiar with line integrals over space curves such as questions like this: Find the line integral of f(x,y,z) = x + y + z over the straight-line segment from (1, 2, 3) to (0, -1 1). Here I know to find equations for x(t), y(t) and z(t) based on the points given. This gives me r(t), which I take derivative to find |v(t)|. To find f in terms of t I substitute x(t), y(t), z(t) into the equation for x, y, and z, then finally solve the integral of f(t) * |v(t)| dt over the interval.
I'm not sure how to start this question though when I'm given a plane curve? Thanks for any suggestions