Question: Show that the vector field F(x, y) = (3xy + ex, 2xy) is conservative, and hence evaluate the line integral .dr where C is

Show that the vector field F(x, y) = (3xy + ex, 2xy)

Show that the vector field F(x, y) = (3xy + ex, 2xy) is conservative, and hence evaluate the line integral .dr where C is the curve parametrised by r(t) = (sin(2t) et, cos(2nt) - t), 0 t 1.

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