1. Use Green's theorem in order to compute the line integral$ (3cos a + 6y²) dx + (sin(5ª) + 16x³) dywhere C is the boundary of the square [0, 1] × [0, 1] traversed in thecounterclockwise way.

Here the given integral is ∮C3cosx+6y2dx + sin5y+16x3dy

Answered: 1. Use Green's theorem in order to…

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. Use Green's theorem in order to compute the line integral $ (3cos + 6y?) dx + (sin(5") + 16x³) dy CO x where C is the boundary of the square [0, 1] × [0, 1] traversed in the counterclockwise way.