How to get the potential and the gradient of this function?

Question

How to calculate the potential $P_3:\mathbb{R}^3\rightarrow\mathbb{R}$ with the $\nabla P_3=f_3$ of the function $f_3:\mathbb{R}^3\rightarrow\mathbb{R}^3$ with

$\large f_3(x,y,z)=(2xe^{x^2y^2z^2}+y,2ye^{x^2y^2z^2}+z,2ze^{x^2y^2z^2}+x)$?