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Evaluate the path integral of a helix.

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Let C be the helix, with parameterization r(t)=(cost, sint, t), tE[0,2pi] and let f(x,y,z) = x^2 + y^2 + z^2. Evaluate the path integral.
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• Let C be the helix, with parameterization , and let . Evaluate the path integral .

• Show that, if is a continuously differentiable conservative vector field, then .

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The path integral of a helix is evaluated. The solution is detailed and well presented.

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