Question: Evaluate c F . dr each curve. Discuss the orientation of the curve and its effect on the value of the integral. F(x, y)

Evaluate ∫c F . dr each curve. Discuss the orientation of the curve and its effect on the value of the integral.

F(x, y) = x²yi + xy³/²j

(a) r1(t) = (t + 1)i + t²j, 0 ≤ t ≤ 2

(b) r₂(t) = (1 + 2 cos t)i + (4 cos² t)j, 0 ≤ t ≤ π/2 

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