5. Perform the line integral [F F dr, for the vector field F(x, y) = (t32t, t³ + 2t), with 0 ≤t≤ 1. NOTE Useful Hint: you can use the Fundamental Theorem of Line Integrals, since F = V(x³y³). (x²y³)i + (x³y²) j where the curve C is r(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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)
Transcribed Image Text: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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