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Evaluating Line Integrals.?
Hello,
I had this problem on my recent quiz, and couldn't really figure out how to solve it. http://mathbin.net/80348 where C is the line segment joining (2,0) to (2,3) So I solved it with green's theorem, which doesn't work since it's not a closed curve. I was wondering if someone could explain how this really works and is supposed to be solved.
1 Answer
- kbLv 710 years agoFavourite answer
Parameterizing C via x = 2, y = 3t for t in [0, 1],
∫c (xy dx + x dy)
= ∫(t = 0 to 1) (2 * 3t * 0 + 2 * 3) dt
= 6.
I hope this helps!
