(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

let f(x,t)=xe^(-xt).show that the integral I(x)=∫f(x,t)dt (integration from 0 to infinite)exists for all x>=0 . is x->I(x) continuous on [0,infinite)

3. The attempt at a solution

what should i use here to prove the integral exist ???once i prove that exist, can i use the specific integration to see its continuity?????

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# Homework Help: Integral proofing

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