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Let $F = (3xy)i + (2y^{2})j$. The value of the line integral $\int_{C}F \cdot dr = _. $ where C is the arc of the parabola $y = 2x^{2}$ from (0,0) to (1,2).

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Parameterize the curve early to turn a vector line integral into a simple calculus problem.

Updated On: Jul 3, 2026

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