My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum

LinkBack Thread Tools Display Modes
November 3rd, 2012, 12:55 PM   #1
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?????
cummings123 is offline  
November 3rd, 2012, 10:26 PM   #2
Senior Member
Joined: Jan 2012
From: Erewhon

Posts: 245
Thanks: 112

Re: integral proofing


Then exists iff exists, and when it does:

CaptainBlack is offline  
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'
HallsofIvy is offline  

  My Math Forum > College Math Forum > Real Analysis

integral, proofing

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
2-D vector proofing yeoky Linear Algebra 1 September 25th, 2013 02:51 PM
a new discovery in integral calculus??for integral pros only gen_shao Calculus 2 July 31st, 2013 09:54 PM
Joint density proofing cummings123 Advanced Statistics 3 October 18th, 2012 12:02 PM
integral of double integral in a region E maximus101 Calculus 0 March 4th, 2011 01:31 AM
Prove Lower Integral <= 0 <= Upper Integral xsw001 Real Analysis 1 October 29th, 2010 07:27 PM

Copyright © 2018 My Math Forum. All rights reserved.