int-dirac-quant.md

Here are the steps to calculate this integral (assume d > 0):

Step 1: Calculate antiderivative about x:

Set X = x², then we get:

Set where and , then we find:

from this table of integrals.

Replace b, c, R and X:

Step 2: Calculate improper integral about x:

Step 3: Calculate antiderivative about y:

Step 4: Calculate improper integral about y: