Calculate the integral Sy3dx + (x3 + 3xyl)dy in the following ways; A) in shape direct. B) using Green's Theorem, if C is the path from (0,0) to (1, 1) along along y = x3, followed by the graph of y = x from (1, 1) to (0, 0).

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.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 38E
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 Calculate the integral Sy3dx + (x3 + 3xyl)dy in the following ways; A) in shape
direct. B) using Green's Theorem, if C is the path from (0,0) to (1, 1) along
along y = x3, followed by the graph of y = x from (1, 1) to (0, 0).

y³dx + (x³ + 3xy²)dy
1. Calculate the integral
direct. B) using Green's Theorem, if C is the path from (0,0) to (1, 1) along
wwwwww
v=X³0
along
followed by the graph of y = x from (1, 1) to (0, 0).
in the following ways; A) in shape
Transcribed Image Text:y³dx + (x³ + 3xy²)dy 1. Calculate the integral direct. B) using Green's Theorem, if C is the path from (0,0) to (1, 1) along wwwwww v=X³0 along followed by the graph of y = x from (1, 1) to (0, 0). in the following ways; A) in shape
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