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November 3rd, 2012, 01:55 PM   #1
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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?????
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November 3rd, 2012, 11:26 PM   #2
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Re: integral proofing

Consider:



Then exists iff exists, and when it does:



CB
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November 6th, 2012, 03:50 PM   #3
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Re: integral proofing

Do Captain Black's with 'integration by parts'
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