Evaluate the line integral F dr, where C is given by the vector function r(t). F(x, y, z) = (x + y²) i + xz j + (y + z) k, r(t) = t2i+ t³j - 2tk, 0 ≤ t≤ 2 01

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Evaluate the line integral F dr, where C is given by the vector function r(t).
F(x, y, z) = (x + y²) i + xz j + (y + z) k,
r(t) = t2i+ t³j - 2tk, 0 ≤ t≤ 2
01
Transcribed Image Text:Evaluate the line integral F dr, where C is given by the vector function r(t). F(x, y, z) = (x + y²) i + xz j + (y + z) k, r(t) = t2i+ t³j - 2tk, 0 ≤ t≤ 2 01
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