Integral proof help

  • #1
I am soooo poor at this kind of proof problem...:cry:
Please help me out with this!

Show that

Integral_C y dx + x dy depends only on the endpoints of the arbitrary curve C.

(Hint: find a potential function f of the vector field <y, x> and use that to integrate
along a parametrization r(t) = <x(t), y(t)> of C with endpoints at t = a and t = b.)

I also attached a jpg file!

Thank you,
Maya:redface:
 

Attachments

  • Parallel Axis Theorem ---.JPG
    Parallel Axis Theorem ---.JPG
    14.5 KB · Views: 340

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2


have you tried the hint? finding a scalar potential should be reasonably staightforward
 

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