November 3rd, 2012, 12:55 PM  #1 
Member Joined: Oct 2012 Posts: 36 Thanks: 0  integral proofing
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) 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????? 
November 3rd, 2012, 10:26 PM  #2 
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  Re: integral proofing
Consider: Then exists iff exists, and when it does: CB 
November 6th, 2012, 02:50 PM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: integral proofing
Do Captain Black's with 'integration by parts'


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