Results 1 to 4 of 4

Math Help - Integrals of Nonpositive functions

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    4

    Integrals of Nonpositive functions

    show that if "f" is integrable then f(x) is less then or equal to 0 on [a,b] is equal to the integral from a to b of f(x) dx is greater then or equal to 0
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by 10roye View Post
    show that if "f" is integrable then f(x) is less then or equal to 0 on [a,b] is equal to the integral from a to b of f(x) dx is greater then or equal to 0
    Please try to ask the question more clearly, that is incomprehensible.

    CB
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,326
    Thanks
    1298
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by 10roye View Post
    show that if "f" is integrable then f(x) is less then or equal to 0 on [a,b] is equal to the integral from a to b of f(x) dx is greater then or equal to 0
    Since f(x)=-1 fits the conditions and assume b>a, then \int_a^b (-1) dx=(a-b)<0 this cannot be true in general.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. integrals of nonpositive functions
    Posted in the Calculus Forum
    Replies: 10
    Last Post: March 8th 2010, 04:41 AM
  2. Replies: 1
    Last Post: June 15th 2009, 05:13 AM
  3. integrals of trigonometric functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 24th 2009, 06:53 AM
  4. Integrals of Trig Functions
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 4th 2007, 11:25 AM
  5. nonpositive matrix
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: September 6th 2006, 10:07 PM

Search Tags


/mathhelpforum @mathhelpforum