Results 1 to 3 of 3

Math Help - Modulus x^n

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    8

    Modulus x^n

    I'm having problems visualising this graph...my calculator won't plot it, neither will Wolfram

    y = |x^n| where n is a positive constant

    Here's the question

    \int_{-2}^{2}|x^n|dy

    It looks like an exponential, but I'm not sure how that translates in modulus form.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,711
    Thanks
    1640
    Awards
    1
    Quote Originally Posted by orangeiv View Post
    I'm having problems visualising this graph...my calculator won't plot it, neither will Wolfram
    y = |x^n| where n is a positive constant
    Here's the question \int_{-2}^{2}|x^n|dx
    It looks like an exponential, but I'm not sure how that translates in modulus form.
    There are a couple difficulities with this question.

    1) In n is a positive integer then it is easy: 2\int_{0}^{2}x^ndx

    2) But if n could be one-half what about negative numbers to the one-half power.
    Are we to use complex roots?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,752
    Thanks
    486
    Quote Originally Posted by orangeiv View Post
    I'm having problems visualising this graph...my calculator won't plot it, neither will Wolfram

    y = |x^n| where n is a positive constant

    Here's the question

    \int_{-2}^{2}|x^n|dy ... dy ?

    It looks like an exponential, but I'm not sure how that translates in modulus form.
    since y = |x^n| \ge 0 for all n > 0, and the lower limit of integration is -2, are you sure that the integration is w/r to y ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Modulus
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 22nd 2011, 06:11 AM
  2. modulus
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 8th 2010, 10:43 AM
  3. modulus
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 13th 2009, 05:32 AM
  4. modulus
    Posted in the Algebra Forum
    Replies: 12
    Last Post: January 11th 2009, 03:53 AM
  5. modulus
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: September 19th 2008, 08:45 AM

Search Tags


/mathhelpforum @mathhelpforum