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Apply Green's Theorem §a f(x, y)dx + g(x, y)dy = ffe g(x,y) дх af (x,y) dxdy ду to obtain the result of the line integral by solving the area integrals. fa (7x2y- 4x)dy + (8xy³ − x²y²)dx The integral starts at the origin, so the value of y = 0. It then reaches the point (7,0) and moves to (7,4), so the value of x = 7. Then it goes from point (7.4) to the point (0.4) and the value of y = 4. Finally it goes from the point (0.4) to the point initial (0,0), being in that last part x = 0. That is, the limits of x will be 0 to 7 and the limits of y will be from 0 to 4.

Apply Green's Theorem §a f(x, y)dx + g(x, y)dy = ffe g(x,y) дх af (x,y) dxdy ду to obtain the result of the line integral by solving the area integrals. fa (7x2y- 4x)dy + (8xy³ − x²y²)dx The integral starts at the origin, so the value of y = 0. It then reaches the point (7,0) and moves to (7,4), so the value of x = 7. Then it goes from point (7.4) to the point (0.4) and the value of y = 4. Finally it goes from the point (0.4) to the point initial (0,0), being in that last part x = 0. That is, the limits of x will be 0 to 7 and the limits of y will be from 0 to 4.

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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デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT Apply Green's Theorem ford f (x, y)dx + g(x, y)dy = √ √e g(x,y) af (x,y) dxdy ду дх to obtain the result of the line integral by solving the area integrals. (7x²y - 4x)dy + (8xy³ − x²y²)dx The integral starts at the origin, so the value of y = 0. It then reaches the point (7,0) and moves to (7,4), so the value of x = 7. Then it goes from point (7.4) to the point (0.4) and the value of y = 4. Finally it goes from the point (0.4) to the point initial (0,0), being in that last part x = 0. That is, the limits of x will be 0 to 7 and the limits of y will be from 0 to 4.
Transcribed Image Text:デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT Apply Green's Theorem ford f (x, y)dx + g(x, y)dy = √ √e g(x,y) af (x,y) dxdy ду дх to obtain the result of the line integral by solving the area integrals. (7x²y - 4x)dy + (8xy³ − x²y²)dx The integral starts at the origin, so the value of y = 0. It then reaches the point (7,0) and moves to (7,4), so the value of x = 7. Then it goes from point (7.4) to the point (0.4) and the value of y = 4. Finally it goes from the point (0.4) to the point initial (0,0), being in that last part x = 0. That is, the limits of x will be 0 to 7 and the limits of y will be from 0 to 4.
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