Evaluate the line integral, where C is the given curve.
C consists of line segments from (0,0) to (2,0) and from (2,0) to (3,2)
can someone help me set this up properly? I thought I was doing it right, but seem to be getting incorrect answers.
Also, latex doesn't seem to like this format or something, but the actual integral is: the integral over the curve of xy dx + (x-y) dy
I'm not sure where my discrepancy has been, perhaps in converting to vectors, I had just kept everything in terms of x, that could be it. Or maybe my mind is disorganized and I errored somewhere along the line.
Also, for C2, I got \int_0^1 xy dx = 8/3
then 0+0+8/3 + 3 = 17/3
Which my book likes.
I appreciate it, there is always 1 or 2 problems which just drive me nuts. I think if I solve it wrong the first time, I'm more and more likely to solve it wrong the subsequent times.