Evaluate the following path integrals integral_c f(x, y, z) ds, under the following conditions.

(note that exp(u) = e^u.)

(a) f(x, y, z) = exp(squareroot z), and c: t rightarrow (4, 1, t^2), t elementof [0, 1]

(b) f(x, y, z) = yz, and c: t rightarrow (t, 3t, 4t), t elementof [1, 3]

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