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

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

Determine Whether or Not F(x,y)=(x2+y)i+(y2+x)j\mathbf { F } ( x , y ) = \left( x ^ { 2 } + y \right) \mathbf { i } + \left( y ^ { 2 } + x \right) \mathbf { j }F(x,y)=(x2+y)i+(y2+x)j

Determine Whether or Not $\mathbf { F } ( x , y ) = \left( x ^ { 2 } + y \right) \mathbf { i } + \left( y ^ { 2 } + x \right) \mathbf { j }$