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View Full Version : Contour Integral with just straight lines?


hd28cw
Dec6-04, 06:31 PM
I'm trying to solve this contour integral shown on the attached file, I know usually that they involve curved lines. I know that this is trivial but I need some help with the problem. Please take a look.

Tide
Dec6-04, 06:57 PM
You might get more replies if you typed the equations in your message - some of us don't have or use MS Word.

Galileo
Dec7-04, 06:22 AM
The problem states:

Solve the contour integral \oint_C \vec A \cdot d\vec s where A=y^2\hat x + 2x \hat y.

C is the rectangular contour with vertices (0,0),(2,0),(2,4),(0,4).

You could break the integral up and perform 4 seperate line integrals, noting the direction of the d\vec s in each case or do it the quicky way by applying Green's Theorem.