[All Steps] Let F:=(2 x-y) i+(e^z-x) j+y e^z k and let C be the line parametrized by x=t, y=2 t, z=t^2 for 0 ≤q t ≤q 1 . Compute ∫_C F • d
Question: Let \(\mathbf{F}:=(2 x-y) \mathbf{i}+\left(e^{z}-x\right) \mathbf{j}+y e^{z} \mathbf{k}\) and let \(C\) be the line parametrized by \(x=t, y=2 t, z=t^{2}\) for \(0 \leq t \leq 1 .\) Compute \(\int_{C} \mathbb{F} \cdot d \mathbf{r}\)
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