Hello. I'm new to physics, and the problem I have seems so basic, mathematically speaking. I'm just failing to grasp exactly what is being asked. If I can find that, I believe I can find the answer. Here it is: 1. The problem statement, all variables and given/known data Let A = x2ˆx + y2ˆy + z2ˆz Consider the parabolic path y2 = x between the points (0, 0) and (2, √2). By integrating over x, compute the line integral ∫(A ⋅ ds) 2. Relevant equations ds = (dx/dt) dy/dx = (1/2)x-½ 3. The attempt at a solution Ok, so we're given a function, y = √(x), and asked to compute a line-integral "over x" under this curve. My questions at this point are: Does "over x" mean with respect to x? (This may just be a problem of semantics.) But, what is ds? Above is my guess at what it should be. Is it just a unit of change along the function y? I would very much appreciate any help you may be able to provide.