[See Steps] Evaluate the line integral ∫_C F • d r, where C is given by the vector function r(t) F(x, y)=x^2 y^3 i-y √x j, r(t)=t^2 i-t^3
Question: Evaluate the line integral \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\), where \(C\) is given by the vector function \(\mathbf{r}(t)\)
\[\mathbf{F}(x, y)=x^{2} y^{3} \mathbf{i}-y \sqrt{x} \mathbf{j}, \quad \mathbf{r}(t)=t^{2} \mathbf{i}-t^{3} \mathbf{j}, \quad 0 \leq t \leq 1\]
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