Is the Given Vector Field Conservative$$\vec { F } ( x , y ) = \left\langle x ^ { y - 1 } , x ^ { y } \ln ( x ) \right\rangle$$

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The Answer of Is the Given Vector Field Conservative$$\vec { F } ( x , y ) = \left\langle x ^ { y - 1 } , x ^ { y } \ln ( x ) \right\rangle$$

Is the Given Vector Field Conservative $\vec { F } ( x , y ) = \left\langle x ^ { y - 1 } , x ^ { y } \ln ( x ) \right\rangle$