Results 1 to 3 of 3

Math Help - Numerical integration?

  1. #1
    Senior Member
    Joined
    Dec 2010
    From
    CPT
    Posts
    302

    Numerical integration?

    Hello everyone

    I have to integrate the definite integral square root(x) using the trapezoidal rule

    n=8

    from x=4 to x=9

    I did (9-4)/8

    giving me a width of 5/8

    then I did

    ((9-4))/((2n)) giving me 5/16

    I did

    (4)^(1/2)+2(4.625)^(1/2)+2(5.25)^(1/2)+2(5.875)^(1/2)+ 2(6.5)^(1/2)+(7.125)^(1/2)+2(7.75)^(1/2)+2(8.375)^(1/2)+1(9)^(1/2) times ((5/16))

    But what could be wrong?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2

    Re: Numerical integration?

    There could be lots of things wrong, but you have not shown any such incorrect thing. If you managed an incorrect result, the error appears to be in the final arithmetic. What did you get? I get 12.66395614 or so. That's a good approximation to 38/3.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Dec 2010
    From
    CPT
    Posts
    302

    Re: Numerical integration?

    Before I do the times ((5/16)) part I end up getting 40.52 and I checked many times entering the same numbers as above.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Numerical Integration
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 8th 2010, 09:16 PM
  2. Example of Numerical Integration?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 7th 2009, 04:22 PM
  3. Numerical integration
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: November 6th 2009, 09:25 AM
  4. Numerical Integration
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 6th 2008, 04:29 PM
  5. Numerical Integration
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 30th 2007, 06:30 AM

Search Tags


/mathhelpforum @mathhelpforum