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(0,0) to (1,1) along two paths: first from (0,0) to (1,0) to (1,1), and then from (0,0) to (0,1) to (1,1). Is the value of the integral the same? Now repeat this exercise with the differential (x^2 + 2y)dx + xdy.

(0,0) to (1,1) along two paths: first from (0,0) to (1,0) to (1,1), and then from (0,0) to (0,1) to (1,1). Is the value of the integral the same? Now repeat this exercise with the differential (x^2 + 2y)dx + xdy.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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Integrate the differential (x^2+y)dx+xdy from (0,0) to (1,1) along two paths: first from (0,0) to (1,0) to (1,1), and then from (0,0) to (0,1) to (1,1). Is the value of the integral the same? Now repeat this exercise with the differential (x^2 + 2y)dx + xdy.

1.2 Integrate the differential (x2 +y)dx+xdy from (0,0) to (1,1) along two paths: first from (0,0) to (1,0) to (1,1), and then from (0,0) to (0,1) to (1,1). Is the value of the integral the same? Now repeat this exercise with the differential (x² + 2y)dx + xdy.
Transcribed Image Text:1.2 Integrate the differential (x2 +y)dx+xdy from (0,0) to (1,1) along two paths: first from (0,0) to (1,0) to (1,1), and then from (0,0) to (0,1) to (1,1). Is the value of the integral the same? Now repeat this exercise with the differential (x² + 2y)dx + xdy.
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