Results 1 to 3 of 3

Math Help - Problem:Commutative property of definite integral

  1. #1
    Senior Member x3bnm's Avatar
    Joined
    Nov 2009
    Posts
    300
    Thanks
    16

    Problem:Commutative property of definite integral

    Is it possible to prove the following

     \int_a^b f(x)\;g(x)\;dx = \int_a^b g(x)\;f(x)\;dx

    I know it's true but how do you prove this? Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4

    Re: Problem:Commutative property of definite integral

    Quote Originally Posted by x3bnm View Post
    Is it possible to prove the following

     \int_a^b f(x)\;g(x)\;dx = \int_a^b g(x)\;f(x)\;dx

    I know it's true but how do you prove this? Thanks.
    Is that really what you mean?

    If f and g are real or complex valued functions it follows from commutativity of multiplication.

    CB
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member x3bnm's Avatar
    Joined
    Nov 2009
    Posts
    300
    Thanks
    16

    Re: Problem:Commutative property of definite integral

    Quote Originally Posted by CaptainBlack View Post
    Is that really what you mean?

    If f and g are real or complex valued functions it follows from commutativity of multiplication.

    CB

    Thanks CaptainBlack. That answers my question.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: December 5th 2011, 05:21 PM
  2. Another definite integral problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 29th 2010, 11:13 PM
  3. homomorphism / commutative property
    Posted in the Advanced Algebra Forum
    Replies: 15
    Last Post: October 23rd 2010, 03:24 AM
  4. Definite Integral Property
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 14th 2010, 02:54 PM
  5. Definite Integral Problem
    Posted in the Calculus Forum
    Replies: 7
    Last Post: May 8th 2010, 10:03 PM

/mathhelpforum @mathhelpforum