Recent content by SapphireLFC
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Can Green's Theorem be used to evaluate line integrals over circles?
Right, ok. Thank you very much for your help! Sorry to be such a pain but I'm still a little baffled about the zero I'm getting. Just as a side note, suppose I was integrating that function over a region with no singularities (say circle centre (3,0), rad 1) would I still not be able to use...- SapphireLFC
- Post #7
- Forum: Calculus and Beyond Homework Help
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Can Green's Theorem be used to evaluate line integrals over circles?
I don't understand what you mean by evaluating it directly. My method was to use greens theorem and then (providing it didn't give me 0!) convert to polar coordinates and integrate over r and theta, thus the singularity wouldn't affect anything. Is this wrong?- SapphireLFC
- Post #5
- Forum: Calculus and Beyond Homework Help
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Can Green's Theorem be used to evaluate line integrals over circles?
Not at all! Just doesn't seem like the correct solution in this instance- SapphireLFC
- Post #3
- Forum: Calculus and Beyond Homework Help
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Can Green's Theorem be used to evaluate line integrals over circles?
Homework Statement Solve: ∫(-ydx+xdy)/(x2+y2) counterclockwise around x2+y2=4 Homework Equations Greens Theorem: ∫Pdx + Qdy = ∫∫(dQ/dx - dP/dy)dxdy The Attempt at a Solution Using Greens Theorem variables, I get that: P = -y/(x2+y2) and Q=x/(x2+y2) and thus dQ/dx =...- SapphireLFC
- Thread
- Circle Green's theorem Theorem
- Replies: 7
- Forum: Calculus and Beyond Homework Help