[[(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.

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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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.
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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