Answered: 5. Perform the line integral [F F dr,… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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5. Perform the line integral
Jo
F dr, for the vector field F(x, y)
(t³ - 2t, t³ + 2t), with 0 ≤ t ≤ 1.
NOTE Useful Hint: you can use the Fundamental Theorem of Line Integrals, since F = V (3r³y³).
=
(x²y³)i + (x³y²) j where the curve C is r(t)

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