i need to integrate
x^2*e^(x^2)
i tried using parts but i still cant get an answer...
That's because this critter is not easily done by the means we are used to.
i.e. u-subbing, parts, etc.
$\displaystyle \int x^{2}e^{x^{2}}dx$
You could use the series for $\displaystyle x^{2}e^{x^{2}}$, $\displaystyle \sum_{k=0}^{\infty}\frac{x^{2k+2}}{k!}$
Then, upon integrating we get $\displaystyle \sum_{k=0}^{\infty}\frac{x^{2k+3}}{k!(2k+3)}$
This can also be represented by the error function:
$\displaystyle \int x^{2}e^{x^{2}}dx=\frac{1}{2}xe^{x^{2}}+\frac{1}{4} \cdot i\cdot \sqrt{\pi}\cdot erf(ix)$.
Which is complex as you can see.