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Compute the line integral of f(x, y, z) = x 2 + y 2 − cos(z)...

Compute the line integral of f(x, y, z) = x 2 + y 2 − cos(z) over the following paths:

(a) the line segment from (0, 0, 0) to (3, 4, 5)

(b) the helical path → r (t) = cos(t) i + sin(t) j + t k from (1, 0, 0) to (1, 0, 2π)

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