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Area between 2 curves, just need someone to check my work.

  1. Dec 8, 2008 #1
    1. The problem statement, all variables and given/known data
    Alright so the problem:

    Find the reigon in the xy plane that is bounded by the curves:

    x = y^2
    and
    2y + x = 3


    quickly solving for the y coordinates of intersection, i get
    y = -3 and 1

    so using horizontal components i got:

    [tex]\int^{1}_{-3}[/tex] 3-2y - y^2

    and then integrating and quickly solving i get 32/3 as a final answer
    do the steps seem alright or have i made a mistake somewhere?

    Many thanks :)
     
  2. jcsd
  3. Dec 8, 2008 #2
    That's right.
     
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