Find the value of the line integral If F is conservative, the integration may be easier on

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Find the value of the line integral

If F is conservative, the integration may be easier on an alternative path.)

F(x, y, z) = -yi + xj + 3xz²k

(a) r₁(t) = cos ti + sin tj + tk, 0 ≤ t ≤ π

(b) r₂(t) = (1 - 2t)i + πtk, 0 ≤ t ≤ 1

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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