How do you integrate 7xe^-5x²?

Making assumptions about where parentheses should be,

Let u = - 7x

du = - 7dx

dv = e^ (2x) dx

v = e^ (2x) / 2

∫ - 7xe^ (2x) dx =

-7xe^ (2x) / 2 - ∫ e^ (2x) / 2 (-7) dx =

-7xe^ (2x) / 2 + 7e^ (2x) / 4 + c