- #1
newton1
- 152
- 0
how to do this integration??
[tex]\int x^2 [e^{-x^2}] dx[/tex]
from [tex] - \infty \rightarrow \infty[/tex]
[tex]\int x^2 [e^{-x^2}] dx[/tex]
from [tex] - \infty \rightarrow \infty[/tex]
Last edited:
Hurkyl said:You have to prove something about the integral before you can do that, though... I can't remember what off hand.
An integral is a mathematical concept that represents the area under a curve in a graph. It is used to find the total amount or accumulation of a quantity over an interval.
The notation "x^2[e^(-x^2)]" represents the function that is being integrated. In this case, x^2 is multiplied by the exponential function e^-x^2.
To solve this integral, you can use integration techniques such as substitution, integration by parts, or partial fractions. You can also use a graphing calculator or online integral solver to find the answer.
The limits of -∞ and ∞ represent the entire real number line. This means that the integral is being evaluated over the entire range of possible values for x.
This integral has various applications in physics, engineering, and statistics. It can be used to find the probability of a continuous random variable, calculate areas and volumes, and solve differential equations.