The discussion centers on the integration of the function ∫(x²)/(e^(x/2)) dx. Participants suggest using integration by parts as a viable method, with a proposed substitution of u = x² and dv = (1/e^(x/2)). A key insight shared is the recommendation to rewrite 1/e^(ax) as e^(-ax) for simplification, particularly when a > 0, which aids in the integration process.
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jdawg said:Homework Statement
∫(x2)/(ex/2) dx
Homework Equations
The Attempt at a Solution
I'm not completely sure where to start on this one. I don't see any sort of u substitution working, would integration by parts be a good idea? Maybe let u=x2 and dv=(1/ex/2) ?
Ray Vickson said:Don't ask: just go ahead and try it for yourself!
BTW: you should always write ##1/e^{ax}## as ##e^{-ax}## whenever ##a > 0##.