Results 1 to 2 of 2

Math Help - Integral

  1. #1
    Senior Member
    Joined
    Nov 2008
    Posts
    461

    Integral

    Hi (Happy new year everyone!)

    It is I = [-10,5] and Z = {-10, -8,-7,...,3, 4 ,5}

    f integrable (furthermore f differentiable and continuous) at I = [-10,5]

    It is f(-10)=f(-9)=...=f(3) = f(4) = f(5) = 0

    Solve \int^5_{-10} f(x) dx

    My question is: Is there any possibility to split the integral?

    Because, what I know is (for example) f = x^3 \ ; \ x \in I \ Z

    I this case I just have to solve

    \int_{-10}^9 x^3 dx +...+\int^5_4 x^3 dx ?

    I find it kinda confusing because of f(a) = 0, if a element of Z

    Rapha
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    May 2006
    Posts
    244
    Quote Originally Posted by Rapha View Post
    Hi (Happy new year everyone!)

    It is I = [-10,5] and Z = {-10, -8,-7,...,3, 4 ,5}

    f integrable (furthermore f differentiable and continuous) at I = [-10,5]

    It is f(-10)=f(-9)=...=f(3) = f(4) = f(5) = 0

    Solve \int^5_{-10} f(x) dx
    Up to this point you know nothing about f other than it is zero on Z. If you apply a numerical integration method (say Simpson's rule) you will get:

    \int^5_{-10} f(x) dx\approx 0


    My question is: Is there any possibility to split the integral?

    Because, what I know is (for example) f = x^3 \ ; \ x \in I \ Z

    I this case I just have to solve

    \int_{-10}^9 x^3 dx +...+\int^5_4 x^3 dx ?

    I find it kinda confusing because of f(a) = 0, if a element of Z

    Rapha
    Now the above seems to make no sense, what additional information do you have about f, and what are you trying to do?

    .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: August 31st 2010, 07:38 AM
  2. Replies: 1
    Last Post: June 2nd 2010, 02:25 AM
  3. Replies: 0
    Last Post: May 9th 2010, 01:52 PM
  4. Replies: 0
    Last Post: September 10th 2008, 07:53 PM
  5. Replies: 6
    Last Post: May 18th 2008, 06:37 AM

Search Tags


/mathhelpforum @mathhelpforum