Calculate the line integral f(−xy³ − 6x + 6y − 3) dx + (−5xy − 3) dy, where C' is the rectangle with vertices (-2, 1), (-2,3), (-4, 3), and (-4,1) oriented clockwise. Enter an exact answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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Calculate the line integral
f (−xy³ − 6x + 6y − 3) dx + (−5xy − 3) dy,
-
where C' is the rectangle with vertices (-2, 1), (2, 3), (-4, 3), and (-4,1) oriented clockwise. Enter an exact answer.
Provide your answer below:
f(-x³-6x+6y-3) dx + (−5xy − 3)dy =
Transcribed Image Text:Calculate the line integral f (−xy³ − 6x + 6y − 3) dx + (−5xy − 3) dy, - where C' is the rectangle with vertices (-2, 1), (2, 3), (-4, 3), and (-4,1) oriented clockwise. Enter an exact answer. Provide your answer below: f(-x³-6x+6y-3) dx + (−5xy − 3)dy =
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