(All Steps) Evaluate the line integral ∫_C F • d r, where F(x, y)=x y^2 i-y √x j and C is given by the vector function r(t)=t^2 i-t j, 0 ≤q
Question: Evaluate the line integral \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\), where \(\mathrm{F}(x, y)=x y^{2} \mathbf{i}-y \sqrt{x} \mathbf{j}\) and \(C\) is given by the vector function \(r(t)=t^{2} \mathbf{i}-t \mathbf{j}, \quad 0 \leq t \leq 1\)
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