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Use a graph of the vector field $\mathbf{F}$ and the curve $C$ to guess whether the line integral of $$\mathbf{F}(x, y)=\frac{x}{\sqrt{x^{2}+y^{2}}} \mathbf{i}+\frac{y}{\sqrt{x^{2}+y^{2}}} \mathbf{j}$$ $$

C \text { is the parabola } y=1+x^{2} \text { from }(-1,2) \text { to }(1,2)$$

Line Integral is zero

Vector Calculus

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Johns Hopkins University

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