Evaluate the line integral F.dr. where F(x, y, z) = (5x² + 6y) î — (3x + 2y²)j + 2xz²k, and C is defined by the parametric equations, x=t, y=t², and z = t³, 0 ≤t≤1.
Evaluate the line integral F.dr. where F(x, y, z) = (5x² + 6y) î — (3x + 2y²)j + 2xz²k, and C is defined by the parametric equations, x=t, y=t², and z = t³, 0 ≤t≤1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Evaluate the line integralf F.dr, where F(x, y, z) = (5x² + 6y) î− (3x +2y²)j + 2xz²k, and C is
defined by the parametric equations, x=t, y=t², and z=t³, 0≤t≤1.
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