Thread: help with tricky integration

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.



You could use the series for ,

Then, upon integrating we get

This can also be represented by the error function:

.

Which is complex as you can see.