Ya.Ya.5 Potential and Solenoid Fields

Condition: show that the field of the vector \ [\ vec {a} = \ left (e^{x}+\ frac {1} {z} \ right) \ vec {\ iMath}+\ left (\ frac {1} {z}+\ frac {1} {y} \ right) \ vec {\ jmath}+\ left (e^{z}-\ frac {x+y} {z {2}} \ right) \ vec {k} \] is potential and find its potential.