1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Definite integral

  1. Feb 3, 2009 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Feb 3, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper

    Welcome to PF nameVoid.
    Let's start by finding an anti-derivative (primitive)... you need something which will give you
    [tex]\sqrt{x - 2} = (x - 2)^{1/2}[/tex]
    when you differentiate it... can you make a wild guess?
  4. Feb 3, 2009 #3
    using the definition op%7B%5Clim%7D%5Climits_%7Bn%5Cto%20%5Cinfty%7D%5Csum_%7Bi%3D1%7D%5E%7Bn%7Df(x_i%20)%5CDelta%20x.jpg


    im not clear on how to expand the expression to distribute the sum
  5. Feb 3, 2009 #4


    Staff: Mentor

    Look at CompuChip's post again. He's not asking you to use the definition of the definite integral, but rather asking you if you can think of a function whose derivative is sqrt(x - 2).

    IOW, d/dx(____) = (x - 2)^(1/2).
    Can you fill in the blank?
  6. Feb 3, 2009 #5
    Why don't you just do a subst. u = x - 2?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook