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Integration by Parts & Change of Variables Proof

  1. Jun 19, 2011 #1
    I'm just curious about the proofs of Integration by Parts & the Change of Variables formula
    as given in this book on page 357. I think there are a lot of typo's so I've uploaded my
    rewrite of them but I am unsure of how correct my rewrites are. If someone could point
    out the errors & why I made them I'd really appreciate it as I don't see how I messed up
    but still feel I did, for example I'm not sure whether the [tex]g_{i-1}[/tex] is a typo in
    the last lines of the IBP proof, when the author takes the norm of the partition to zero.
    I can't see how it's included according to my rewrite :confused:

    14l1nh5.png
     
  2. jcsd
  3. Jun 19, 2011 #2

    hunt_mat

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    For integration by parts, why not just integrate the product rule for differentiation?
     
  4. Jun 19, 2011 #3
    The challenge I suppose. So no errors?
     
  5. Jun 19, 2011 #4

    hunt_mat

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    I don't see why you just done use the fundamental theorem of calculus. That's what we did in our analysis course.
     
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