Physics

Problem

Let

\mathbf{F}(x, y) = (3x^2 + y^2)\mathbf{i} + 2xy\mathbf{j}

and let

C

be the curve shown. ![Figure showing a curve C in the xy-plane, starting at (-2, 0) and ending at (2, 0), defined by y = -sqrt(4 - x^2).](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20251231T133952Z/79797d4c87c44364a4cbb3814ebb0b68/207c4bf0dce180461dfd17ac04bb84bc_img.jpg)

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