1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Can someone please explain this integral to me?

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

    [​IMG]

    equal this:
    [​IMG]

    thanks,
    nick
     
  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

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    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...?

    Daniel.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?