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Calculating the area between two curves

  1. Dec 17, 2007 #1
    1. The problem statement, all variables and given/known data

    Compute the area between the two functions as an integral along the x-axis or the y-axis:

    x=abs(y)
    x=6-y^2

    2. Relevant equations



    3. The attempt at a solution

    I sketched the graph to determine which was to the right and which was left finding out that 6-y^2 is to the right then I found out where the limits of integration would be and go the to be +sqrt6 , -sqrt6 however I'm not getting the correct answer and I'm unsure of how to integrate the absolute value function, I tried to split it up into two separate integrals but it didn't work
     
  2. jcsd
  3. Dec 17, 2007 #2

    malty

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    Gold Member

    Last edited: Dec 17, 2007
  4. Dec 17, 2007 #3
    Ah, I see no I was not familiar with that function, I got my limits because those are the points where the parabola meets the y axis,
     
  5. Dec 17, 2007 #4

    malty

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    But where does the curve intersect the line?
     
  6. Dec 17, 2007 #5

    HallsofIvy

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    There isn't "one function to the right and the other to the left". There is one function above the other!
     
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