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!

Improper Integral

  1. Jan 1, 2009 #1
    Hello and Happy New year, I'm having some trouble computing this integral:

    limn->00[tex]\int^{1}_{0}[/tex][tex]\sqrt[3]{1+x^{n}sin(nx)}[/tex]

    Any suggestions are appreciated.
     
  2. jcsd
  3. Jan 1, 2009 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    It sure looks like the limit ought to be one, doesn't it? Try to write down some inequalities sandwiching that integral between two integrals whose limit you know is one. Start by using -1<=sin(nx)<=1.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Improper Integral
  1. Improper Integral (Replies: 5)

  2. Improper Integrals (Replies: 3)

  3. Improper integrals (Replies: 5)

  4. Improper integrals (Replies: 2)

  5. Improper Integral (Replies: 7)

Loading...