Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) [2xy de 2xy dx + (x²-2¹) dy-4yz³ dz (0,0,0)

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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Evaluate. The differential is exact.
(8,9,5)
4x
S (4x + 1)e dx + z dy + y dz
(0,0,0)
Transcribed Image Text:Evaluate. The differential is exact. (8,9,5) 4x S (4x + 1)e dx + z dy + y dz (0,0,0)
Show that the differential form in the integral is exact. Then evaluate the integral.
(1,2,3)
[2xy de
2xy dx + (x²-2¹) dy-4yz³ dz
(0,0,0)
Transcribed Image Text:Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) [2xy de 2xy dx + (x²-2¹) dy-4yz³ dz (0,0,0)
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