Consider the following line integral. xy dx + xy3 dy, C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4) (a) Evaluate the given line integral directly. (b) Evaluate the given line integral by using Green's theorem.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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Consider the following line integral.
xy dx + x²y3 dy, Cis counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4)
(a) Evaluate the given line integral directly.
(b) Evaluate the given line integral by using Green's theorem.
Transcribed Image Text:Consider the following line integral. xy dx + x²y3 dy, Cis counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4) (a) Evaluate the given line integral directly. (b) Evaluate the given line integral by using Green's theorem.
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