Problem statement: Find the general solution of the given differential equation:

$\displaystyle y' + 2*xy = {x}^{3}$

Using P(x) = 2*x, I obtained an integration factor of $\displaystyle {e}^{{x}^{2}} $

$\displaystyle \frac{d}{dx} ( {e}^{{x}^{2}} * y) = {e}^{{x}^{2}}*{x}^{3} $

My question is would it be okay in this instance to leave the integral of $\displaystyle \int {e}^{{x}^{2}}*{x}^{3} dx$ as my answer? Or have I approached the problem incorrectly?