[[(2x + y²) da + 2xy dy], where C is the line segment from (-1,0) to (1, 2) Evaluate in two different ways: (a) Directly as a line integral (parameterise C). (b) By using the Fundamental Theorem of Calculus for line integrals.
[[(2x + y²) da + 2xy dy], where C is the line segment from (-1,0) to (1, 2) Evaluate in two different ways: (a) Directly as a line integral (parameterise C). (b) By using the Fundamental Theorem of Calculus for line integrals.
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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![1. Evaluate / [(2x + y?) dx+ 2.xy dy], where C is the line segment from (-1,0) to (1,2)
C
in two different ways:
(a) Directly as a line integral (parameterise C).
(b) By using the Fundamental Theorem of Calculus for line integrals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff050d5f2-4147-4a1a-a8b5-57e053170f08%2F320dc31d-bdd7-4f9c-ab30-b9273bda0928%2F8h011e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Evaluate / [(2x + y?) dx+ 2.xy dy], where C is the line segment from (-1,0) to (1,2)
C
in two different ways:
(a) Directly as a line integral (parameterise C).
(b) By using the Fundamental Theorem of Calculus for line integrals.
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