Evaluate the line integral S¢F dr where F(x, y) = xsin(y)i + yj and C is the arc of the parabola y=x² from (1, 1) to (2, 4). O (15+ cos(1) – cos(4)) O (15+ sin(1) - cos(4)) O (17+ cos(1) - cos(4)) o (17- cos(1) + cos(4)) 2 O (15+ sin(1) - sin(4))

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 61E
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Evaluate the line integral
SeF.dr
where F(x, y) = xsin(y)i + yj and C is the arc of the parabola y=x² from (1, 1) to (2, 4).
(15+ cos(1) – cos(4))
O (15+ sin(1) - cos(4))
O (17+cos(1) – cos(4))
o (17-cos(1) + cos(4))
2
O (15+ sin(1) – sin(4))
Transcribed Image Text:Evaluate the line integral SeF.dr where F(x, y) = xsin(y)i + yj and C is the arc of the parabola y=x² from (1, 1) to (2, 4). (15+ cos(1) – cos(4)) O (15+ sin(1) - cos(4)) O (17+cos(1) – cos(4)) o (17-cos(1) + cos(4)) 2 O (15+ sin(1) – sin(4))
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