- #1
Calpalned
- 297
- 6
Homework Statement
I have to prove that ## \int e^{\frac{x^2}{-2}}dx ## from +∞ to -∞ = ##\sqrt{2\pi} ##
Homework Equations
N/A
The Attempt at a Solution
My GSI went from
1) ## \int e^{\frac{x^2}{-2}}dx ## from +∞ to -∞ = ##\sqrt{2\pi} ##
to
2) ## (\int e^{\frac{x^2}{-2}}dx)(\int e^{\frac{y^2}{-2}}dy) ## is equal to ## 2\pi ##
Where did the red part of the function come from?
This leads to another question, how do we convert a single integral to multiple integrals? Thank you.