Given the path, +dx + xe'dy determine the line integral using Green's theorem if C, is y = x² + 2, with the boundary at the intersection with C, that is y = x+ 3. Finally, C, traverses the y-axis to intersect C,. A. 40.4645sq. units B. 43.1962 sq. units C. 41.3013 sq. units D. Diverging

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Provide COMPLETE AND CORRECT solutions. INTEGRAL CALCULUS. Topics are provided on the second image for references.

Applications of Integral Calculus HII: Arc Length, Plane and
Polar Areas; Surface and Volume of Revolutions: Centroids and Moments; Work and Applications in Physics, ChE Kinetics, Unit
Operations, Thermodynamics, and Statistic:
Transcribed Image Text:Applications of Integral Calculus HII: Arc Length, Plane and Polar Areas; Surface and Volume of Revolutions: Centroids and Moments; Work and Applications in Physics, ChE Kinetics, Unit Operations, Thermodynamics, and Statistic:
Given the path,
Edx + xe"dy
determine the line integral using Green's theorem if G,is y = x² + 2, with the boundary at the intersection with C, that is
y = x + 3. Finally, C, traverses the y-axis to intersect C,.
A. 40.4645 sq. units
B. 43.1962 sq. units
C. 41.3013 sq. units
D. Diverging
Transcribed Image Text:Given the path, Edx + xe"dy determine the line integral using Green's theorem if G,is y = x² + 2, with the boundary at the intersection with C, that is y = x + 3. Finally, C, traverses the y-axis to intersect C,. A. 40.4645 sq. units B. 43.1962 sq. units C. 41.3013 sq. units D. Diverging
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