$\displaystyle \int{1^2x*5^(2x^(2))}$
thanks
I'm still as much in the dark as ever. Nevertheless, taking it on face value as $\displaystyle \int (1^{2}x)(5^{2x^{2}}) dx$ you should first realise that this is the same as $\displaystyle \int (x) (5^{2x^{2}}) dx$. Now make the substitution $\displaystyle u = 2x^2$ and note that $\displaystyle 5^u = e^{(\ln 5) u}$.