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1. Gaussian integral The Gaussian integral, which has useful applications in probability distributions, is given by e²dr = √ñ. (1) Use eq. (1) to evaluate the following definite integral: ²²e-² dr. (Hint: lim er"=0 for any finite n.) 844x

1. Gaussian integral The Gaussian integral, which has useful applications in probability distributions, is given by e²dr = √ñ. (1) Use eq. (1) to evaluate the following definite integral: ²²e-² dr. (Hint: lim er"=0 for any finite n.) 844x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Gaussian integral The Gaussian integral, which has useful applications in probability distributions, is given by [e³²dr = √ñ. (1) Use eq. (1) to evaluate the following definite integral: S r²e-²²dr. (Hint: lim er"=0 for any finite n.) 2448
Transcribed Image Text:1. Gaussian integral The Gaussian integral, which has useful applications in probability distributions, is given by [e³²dr = √ñ. (1) Use eq. (1) to evaluate the following definite integral: S r²e-²²dr. (Hint: lim er"=0 for any finite n.) 2448
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