348-problem4 - 2 ax e dx a π ∞--∞ = ∫ . You will...

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Chem. 540 Instructor: Nancy Makri PROBLEM 4 Calculate the integrals (a) 0 ax e dx - (b) 0 ax xe dx - (c) 2 ax xe dx - -∞ (d) 2 0 ax xe dx - (e) 2 ax bx e dx - + -∞ where a is a positive parameter. For some of these you may use the very useful result
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Unformatted text preview: 2 ax e dx a π ∞--∞ = ∫ . You will save some work if you use clever tricks such as integrating by parts, differentiat -ing under the integral sign or completing the square....
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This note was uploaded on 02/08/2012 for the course CHEM 540 taught by Professor Mccall during the Fall '08 term at University of Illinois, Urbana Champaign.

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