Math4 - 2 ax e dx a π ∞-∞ =& You will save some...

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Chem. 444 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, differentiating under the integral sign or completing the square....
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