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Find the line integral?
Find the line integral of (2x-y)dx+(x+3y)dy on the line segments connecting (0,0) to (3,3) AND (3,3) to (3,0).
For some reason I can't figure this one out. I usually understand these.
1 Answer
- δοτζοLv 77 years ago
Parametrize the line:
r(t) = <t, t>, 0 ≤ t ≤ 3
Substitute:
∫[0,3] (2t - t)(1) + (t + 3t)(1) dt = ∫[0,3] 5t dt
I'm sure you can handle it from there.
The same goes for the other direction (the parametrization will be different, obviously). You should find that these have the same absolute value but one's positive and the other's negative.
