?Show that F is conservative and use this fact to evaluate ?C F dr along the given
Chapter 16, Problem 13(choose chapter or problem)
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 1 cos 𝜋t) j, 0 ⩽ t ⩽ 1
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