Show that the value of c F . dr is the same for each parametric representation of

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Show that the value of ∫c F . dr is the same for each parametric representation of C.

F(x, y) = x²i + xyj

(a) r1(t) = ti + t²j, 0 ≤ t ≤ 1

(b) r₂(θ) = sin θi + sin² θj, 0 ≤ θ ≤ π/2

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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