Evaluate the line integral C . dr for the following functions w and oriented curves C
Question:
Evaluate the line integral ∫C ∇φ. dr for the following functions w and oriented curves C in two ways.
a. Use a parametric description of C and evaluate the integral directly.
b. Use the Fundamental Theorem for line integrals.
Transcribed Image Text:
p(x, y, z) = (x² + y² + z²)/2; C: r(t) = (cost, sint, t/π), for 0 ≤ t ≤ 2π
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Related Book For
Calculus For Scientists And Engineers Early Transcendentals
ISBN: 9780321849212
1st Edition
Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran
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