Evaluate [ int_{C} 2 x y z d x+x^{2} z d y+x^{2} y d z ] over
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Evaluate
\[
\int_{C} 2 x y z d x+x^{2} z d y+x^{2} y d z
\]
over the path \(\mathbf{r}(t)=\left(t^{2}, \sin (\pi t / 4), e^{t^{2}-2 t}ight)\) for \(0 \leq t \leq 2\).
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