Word Count : 307

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We are asked to evaluate numerically the line integral $$ \oint_C (2x^2 + 3y^2)\, dx $$ along the curve parameterized as $$ x(t) = a t^2, \quad y(t) = 2 a t, \quad 0 \le t \le 1 $$ --- ### Step 1: Parametrize the integral The line integral of a function $F(x, y) \, dx$ along a curve $C$ is ___ ____ ___ __________ _______ _______ ________ ________ _______ _______ _____ ____.
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