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Area between two curves

  1. May 31, 2006 #1
    Hi, im having a little trouble with this one, how do you do them when no boundaries are given?

    [tex]y=sin \frac{\pi x}{2}[/tex]

    and

    [tex]y=x[/tex]

    how do i find the boundaries?
     
  2. jcsd
  3. May 31, 2006 #2
    EDIT:i know how to get the boundaries, but how do i know what numbers to integrate between?
     
  4. May 31, 2006 #3

    arildno

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    Eeh, what about the interval [itex]0\leq{x}\leq{1}[/itex]??
     
  5. May 31, 2006 #4
    why between 0 and 1
    ?..also..what is the integral of sin2x?
     
  6. May 31, 2006 #5
    In an example in the book they find the points of intersection, is this how i do it?if so how would i find the points of intersection?
     
  7. May 31, 2006 #6

    arildno

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    What does the term "point of intersection" MEAN?
    Answer that, and you automatically may set up an equation whose solutions are the points of intersection.
     
  8. May 31, 2006 #7
    You may graph the function for clearer understanding .
     
  9. May 31, 2006 #8
    k..well cancel everyhting i said before..we have the two equations..I want to isolate x..and then find where the two curves intersect...

    making it [tex]\frac{2y}{sin \pi} = x[/tex] is wrong isnt it?

    how do i isolate x?

    If I can find the points where the two curves intersect, then I can integrate between these two points to find the Area
     
  10. May 31, 2006 #9
    Yes, that is wrong.
    You have two equations in y and x .
    The point of intersection has to satisfy both the conditions .
    Now can you form the equation ?

    Hint : Try to get an equation in x alone .
     
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