Determine Whether or Not $\mathbf { F }$ Is a Conservative Vector Field

question 122

Short Answer

Determine whether or not $\mathbf { F }$ is a conservative vector field. If it is, find a function $f$ such that $\mathbf { F } = \nabla f$
$$\mathbf { F } = ( 4 x \cos y - y \cos x ) \mathbf { i } + \left( - 2 x ^ { 2 } \sin y - \sin x \right) \mathbf { j }$$

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