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9 vertices (0, 0), (,0) and (l, l). (a) Evaluate the integral 3. Let be Let C be the triangle with [a³y da - xy dy by direct calculation. 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!).

9 vertices (0, 0), (,0) and (l, l). (a) Evaluate the integral 3. Let be Let C be the triangle with [a³y da - xy dy by direct calculation. 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!).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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!).
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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