Ex: Use Green's Theorem to Evaluate a Line Integral (Rectangle)

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This video explains Green's Theorem and explains how to use Green's Theorem to evaluate a line integral.
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  2. line
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  6. Green's
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Комментарии
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Thanks alot .Felt like leaving without commenting was a crime because of how good your explanation was

i.am.sir_
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Instead of giving co-ordinates, if only "any square of 5 units" is given, can we take the square from (0, 0), (5, 0), (5, 5), (0, 5) on our own?

_ajinkya
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How do we know if we have to start integrating from dy or dx

modibacm
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great video, helped out a lot, thanks!

edmund
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What are some "practical" sources or applications of this? I understand the curve and the math but can't relate to the source of the very fist integral on line one of the problem.

hollisinman
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Problem 2. Let R be the rectangle [0:2] x [1:4].

(a) Let f(x;y) = x cos(x² + y). Calculate the integral ff f(x, y)dA.

(b) Study the Simpson formula. Develop a function to estimate the integral in R using Simpson formula.

(c) Let n and m be the number of sub-interval in z and y compo nents, respectively. Estimate the integral with [n, m] = [40.60] and [n, m] [80, 120] and estimate the errors. help me

nguyenhuyphat