The integral is famous for being non-elementary! This means we can’t express it in terms of basic functions like polynomials or trigonometric functions. Instead, it’s typically represented using special functions, namely the error function , or it can be evaluated using numerical methods for specific values. This makes it a great example of how calculus can lead to surprising results!

If you’re curious about approximating this integral or solving related problems, one common method is to use series expansion. By expanding using its Taylor series, you can integrate term by term to find an approximate solution over a given range. This technique is handy in physics and engineering when exact solutions may be impractical!