The improper integral JO' e -x' dx is important in the theory of probability

Chapter 9, Problem 35

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The improper integral JO' e -x' dx is important in the theory of probability, statistics, and other areas of applied mathematics. If I denotes the integral, then I= f'e-x' dx and I= f'"e-y' dyand consequently Discuss how to use polar coordinates to evaluate the last integral. Find the value of I.

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