HELLO

Problem:

Evaluate $\displaystyle \int_0^4 \int_{\sqrt x}^{2} e^{-y^3} dy dx$

Surely, I will reverse the order to :

$\displaystyle \int_0^2 \int_{y^2}^4 e^{-y^3} dx dy$

I want only to check the new integral

Is the upper/lower limits correct??

and which one is correct : "upper" or "uper" ?