Title says it all, this isnt a question I've seen just something I'm curious about.

If you have e raised to the power of 2x, where the x is raised to the 2nd power can you integrate that? If so how?

Printable View

- Feb 6th 2009, 03:30 PMryu991can you/how do you integrate e^2x^2?
Title says it all, this isnt a question I've seen just something I'm curious about.

If you have e raised to the power of 2x, where the x is raised to the 2nd power can you integrate that? If so how? - Feb 6th 2009, 04:25 PMAbu-Khalil
You mean $\displaystyle \int e^{2x^2}dx$?

- Feb 6th 2009, 04:55 PMWhoCares357
- Feb 6th 2009, 05:07 PMChris L T521
It can't be done in terms of elementary functions.

-------------------------------------------------------------------------

As an aside: If you were to find $\displaystyle \int_{-\infty}^{\infty}e^{-2x^2}\,dx$ or $\displaystyle \int_0^{\infty}e^{-2x^2}\,dx$ or $\displaystyle \int_{-\infty}^{0}e^{-2x^2}\,dx$, then it can be done, but by a conversion to a double polar integral. This way, it can be shown that $\displaystyle \int_0^{\infty}e^{-2x^2}\,dx=\frac{1}{2}\sqrt{\frac{\pi}{2}}$