Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
3. Let be
vertices (0, 0), (l,0) and (l, l).
(a) Evaluate the integral
10²
x³y dx - xy dy by direct calculation.
Let C be the triangle with
Hint: You will need to evaluate three different line integrals. A diagram
will be useful!
(b) Now evaluate the integral
[a³y da - ry dy using Green's Theorem.
(You should find this much easier!).
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Transcribed Image Text:3. Let be vertices (0, 0), (l,0) and (l, l). (a) Evaluate the integral 10² x³y dx - xy dy by direct calculation. Let C be the triangle with Hint: You will need to evaluate three different line integrals. A diagram will be useful! (b) Now evaluate the integral [a³y da - ry dy using Green's Theorem. (You should find this much easier!).
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