Find the value of the line integral

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

F(x, y, z) = y sin zi + x sin zj + xy cos xk

(a) r₁(t) = t²i + t²j, 0 ≤ t ≤ 2

(b) r₂(t) = 4ti + 4tj,
0 ≤ t ≤ 1

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C F. dr.