Integral of x^2e^-x^2 from negative infinity to infinity - updated 💪

Integrate x^2e^x^2 from 0 to infinity. The answer is sqrt(π)/2. This function is also expressed as x^2e^(x^2). This is a Gaussian function that is common in calculus, physics, and chemistry.
Here's the integral of e^-x^2 from negative infinity to infinity:
• Integral of e^-x^2 fro...
I got tons of modifications of this type of integral. Check them out in my integrals playlist!
• All Integrals