Question: Show that F is conservative and use this fact to evaluate C F dr along the given curve. f(x, y ) = (4x

Show that F is conservative and use this fact to evaluate ∫C F • dr along the given curve.

f(x, y ) = (4x3y2 - 2xy3)i + (2x4y - 3x2y2 + 4y3)j,

C: r (t) = (t + sin πt)i + (2t + cos πt)j, 0 < t < 1

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