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Evaluation of reduction formula

  1. Aug 10, 2012 #1
    1. The problem statement, all variables and given/known data

    Given ∫xn2xdx= 2/ln(2) -n/ln(2)∫xn-12xdx, for n≥1

    find ∫x32xdx

    all integrals have limits 1and 0.



    2. Relevant equations



    3. The attempt at a solution

    doing this I get...

    2/ln2 -3/ln2(2/ln2-2ln2)(2/ln2 -1/ln2)(2/ln2-1/ln2)

    but this just gives me 0

    I must be doing something wrong but I don't know what?
     
  2. jcsd
  3. Aug 10, 2012 #2

    Simon Bridge

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    Do each step on a different line... you've got your brackets in the wrong places.
    It will help you to put k=1/ln(2) ;)
     
    Last edited: Aug 10, 2012
  4. Aug 10, 2012 #3
    ok yeah that helped..got it now.:)
     
  5. Aug 10, 2012 #4

    Simon Bridge

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    Cheers. It's easy to lose track of these things.
     
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