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Can someone please explain this integral to me?

  1. Mar 1, 2006 #1
    why does this integral


    equal this:

  2. jcsd
  3. Mar 1, 2006 #2
    Well, x^(s+1) = x.x^s where the . means times. This then cancels down with the 1/x to leave the integral of [tex] \frac{x^s}{s+1} [/tex], then all you do is increase the power by 1 (to s+1), and then divide by the new power, so leave [tex] \frac{x^{s+1}}{(s+1)^2} [/tex] as required.

    edit: Does anyone know why the latex maths bits aren't working?
  4. Mar 1, 2006 #3
    thank you. i understand even though some of the codes didnt show up. i just didnt get that x^(1+s)= x.x^s

    thanks again :!!)
  5. Mar 3, 2006 #4


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    Well, actually

    [tex]\int \frac{x^{s+1}}{s+1} \frac{dx}{x} \neq \frac{x^{s+1}}{(s+1)^{2}} [/tex]

    Can you see why...?

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