How to find a function whose curl is $(7e^y,8x^7 e^{x^8},0)$? How to find a function whose curl is $(7e^y,8x^7 e^{x^8},0)$?
I've tried several integration but can't find a trivial form. 

Since $\vec\nabla \times \vec F(x,y,z) $  has an x component that depends only on y  and a y component that depends only on x and no z component 
A good guess is that  $\vec F(x,y,z) $ takes the form 
$\vec F(x,y,z) = (0,0,g(x)+h(y)) $
$g(x) $ and $h(y) $ can be found easily by integration.
