с 2 0 Use Green's theorem to evaluate the line integral _cos fc (2tan x − 2y³) dx + (ä⁰⁹ y + 2x where C is the simple closed curve as shown above in the figure, oriented counterclockwise. C is composed of two semicircles centered at the origin with radii 1 and 3, and the two congruent line segments of length 2 on the x-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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C
4
0
Use Green's theorem to evaluate the
line integral
fc (2tan x - 2y³) dx + (πcºs y + 2x
where C is the simple closed curve
as shown above in the figure,
oriented counterclockwise. Cis
composed of two semicircles
centered at the origin with radii 1
and 3, and the two congruent line
segments of length 2 on the x-axis.
Transcribed Image Text:C 4 0 Use Green's theorem to evaluate the line integral fc (2tan x - 2y³) dx + (πcºs y + 2x where C is the simple closed curve as shown above in the figure, oriented counterclockwise. Cis composed of two semicircles centered at the origin with radii 1 and 3, and the two congruent line segments of length 2 on the x-axis.
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