Conservative Vector Fields

In the following problem you will have to explain in detail and step by step how to find the answer.

Determine if the vectorial field $F(x,y,z) = (2x \sin(x^2 + yz), z \sin(x^2 + yz), y \sin(x^2 + yz))$ is conservative. If the answer is affirmative, find the potential function.


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Mathe Mathe
The answer is accepted.
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