Let (f(x, y, z)=x y sin (y z)) and (mathbf{F}=abla f). Evaluate (int_{C} mathbf{F} cdot d mathbf{r}),
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Let \(f(x, y, z)=x y \sin (y z)\) and \(\mathbf{F}=abla f\). Evaluate \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\), where \(C\) is any path from \((0,0,0)\) to \((1,1, \pi)\).
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