Evaluating $\int(2x^2+1)e^{x^2}dx$ $$\int(2x^2+1)e^{x^2}dx$$
The answer of course:
$$\int(2x^2+1)e^{x^2}\,dx=xe^{x^2}+C$$
But what kind of techniques we should use with problem like this ?

Look at the integral
$$\int 2x^2e^{x^2}\, dx.$$ Try integrating by parts as follows.
$u = x$, $dv = 2xe^{x^2}dx$, $v = e^{x^2}$, $du = dx$.   
