1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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]



    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


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    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


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    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 .
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Area between two curves