(a) We define the improper integral (over the entire plane
Chapter 12, Problem 12.3.30(choose chapter or problem)
(a) We define the improper integral (over the entire plane where is the disk with radius and center the origin. Show that (b) An equivalent definition of the improper integral in part (a) is where is the square with vertices . Use this to show that (c) Deduce that (d) By making the change of variable , show that (This is a fundamental result for probability and statistics.)
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