- #1
pierce15
- 315
- 2
We all know about the famous equation: [itex]\int_{-\infty}^\infty e^{-x^2} dx=\sqrt{\pi}[/itex].
How about [itex]\int_{-\infty}^\infty e^{-x^4} dx[/itex]?
Or, in general, can we calculate any integral in the form [itex]\int_{-\infty}^\infty e^{-x^n} dx[/itex], where n is an even counting number?
How about [itex]\int_{-\infty}^\infty e^{-x^4} dx[/itex]?
Or, in general, can we calculate any integral in the form [itex]\int_{-\infty}^\infty e^{-x^n} dx[/itex], where n is an even counting number?