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Homework Help: Integral and Fundamental Theorem of Calculus

  1. Jul 14, 2008 #1
    1. The problem statement, all variables and given/known data
    Find [tex] 2 \int 0 \ [/tex] (2-x^2)dx

    using def of the definite integral and
    using FTC


    2. Relevant equations



    3. The attempt at a solution
    any help on how to start would be great?
     
  2. jcsd
  3. Jul 14, 2008 #2

    Defennder

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    Homework Helper

    This looks really odd. Do you really mean [tex]2\int 0^{2-x^2} dx[/tex]?
     
  4. Jul 15, 2008 #3
    naw.I think he means integral from 0 to 2 of 2-x^2..??
     
  5. Jul 15, 2008 #4
    yeah camilus is right
     
  6. Jul 15, 2008 #5
    am i gettin it close, lim n-->infinity {[8/n^3(i^2)] +4}
     
  7. Jul 15, 2008 #6
    the answer is 4/3.

    integral from 0 to 2 of 2-x^2 = [2x-(x^3)/3] evaluated at 2. You can ignore the zero.

    2(2)-(2^3)/3 = 4 - 8/3 = (12 - 8)/3 = 4/3
     
  8. Jul 15, 2008 #7
    oh i get ya, and using ftc id get the same answer just a different way correct?
     
  9. Jul 15, 2008 #8
    thanks for the help camilus
     
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