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Question:

In Stoke's law, let [itex] v_1 = -y [/itex] and [itex] v_2 = 0 [/itex] to show that the area of S equals the line integral [itex] -\int_C y\,\,\,dx [/itex] . Find the area of an ellipse ([itex] x = a \cos t [/itex], [itex] y = b \sin t [/itex], [itex] x^2/a^2+y^2/b^2 = 1 [/itex], [itex] 0 \leq t \leq 2\pi [/itex]).

It's asking me to do the following:

1) Compute the line integral [itex] -\int_C y\,\,\,dx [/itex] along an ellipse.

2) Compute [itex] \int \int_S curl \vec v\,\,\, dx\,dy [/itex] with the conditions: [itex] v_1 = -y [/itex] and [itex] v_2 = 0 [/itex] along an ellipse.

And (1) should equal (2)?

This is how I'm interpretting the question, but my calculations are not agreeing. If my idea of how to interpret the question is correct I'll post my work. Thanks :)

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# Homework Help: Stokes Thm - don't undestand this question fully

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