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Integral question

  1. Dec 17, 2011 #1
    How does the function equal x = y^2 I though it was y = x^1/2 ??
    I highlighted this part in the picture I posted
     

    Attached Files:

  2. jcsd
  3. Dec 17, 2011 #2
    Why don't you see if those two are equal?

    Try graphing them both
     
  4. Dec 17, 2011 #3

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    Hi Miike012! :smile:

    What do you get if you square both sides of y = x1/2?
     
  5. Dec 17, 2011 #4
    Ok yes thats true.. I guess what I am really asking my self is why did they go with x = y^2 instead of y = x^1/2.
     
  6. Dec 17, 2011 #5

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    Can I assume this is about integrals?

    The white area is calculated using the integral of y(x)=x1/2.
    This integral calculates the area between the graph and the x-axis.

    To calculate the gray area, basically the axes are swapped around, so the integral between the graph and the y-axis can be calculated.
    But if you do that, the function has to be inverted as well.
     
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