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Tricky integral

  1. Apr 9, 2016 #1
    1. The problem statement, all variables and given/known data
    How do I calculate ##\int_a^b x\left(\frac{b-x}{b-a}\right)^{n-1} \; dx##???

    2. Relevant equations

    3. The attempt at a solution
    I tried the substitution ##u = \frac{b-x}{b-a}## to no avail. Someone please help.
  2. jcsd
  3. Apr 9, 2016 #2


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    That substitution should work: show us what went wrong when you tried it.
    A little hint: don't bother with the ##b-a## in the denominator, as that is a constant. Set ##u=b-x##.
    EDIT: it doesn't really matter, both substitutions work just fine.
    Last edited: Apr 9, 2016
  4. Apr 9, 2016 #3
    Thanks a lot. I got it.
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