Ya.Ya.7 Potential and Solenoid Fields

Condition: to prove the potential of a given vector field and find its potential using a curved integral. \ [\ begin {array} {l} \ vec {a} = (2 x y z+7) \ vec {\ iMath}+\ left (x^} z-12 y^{2} z \ risht) {\ jmath}+\\ +\ left (x^{2} y-4 y^{3} +4 z^{3} \ right) \ vec {k} \ end {array} \]