Calculate C F(r) dr for the given data. If F is a force, this gives

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Calculate ∫F(r) • dr for the given data. If F is a force, this gives the work done by the force in the displacement along C. Show the details.

F = [e-x, e-y, e-z], C: r = [t, t2, t] from (0, 0, 0) to (2, 4, 2). Sketch C.

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