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Anyone who could explain this to me? Integration

  • 19-06-2006 4:18pm
    #1
    Peter Burnes
    Closed Accounts Posts: 7 ✭


    I know it's all over and there is no going back changing anything but the only bad experience in my book is one where i don't learn something

    Could someone please help me out with understanding Question 8 c from paper 1 on the higher level leaving cert exam.
    Link is here
    http://www.examinations.ie/archive/exampapers/2006/LC003ALP100EV.pdf

    I'm not sure how we are supposed to go about answering part2? and would really appreciate some insights.

    the region enclosed by the curves y=f(x) and y=g(x)

    THANKS very much!


Comments

  • #2
    David19
    Registered Users, Registered Users 2 Posts: 925 ✭✭✭David19


    1st result in google:

    http://archives.math.utk.edu/visual.calculus/5/area2curves.3/index.html

    The second example seems the closest to your question.


  • #3
    Peter Burnes
    Closed Accounts Posts: 7 ✭Peter Burnes


    Cheers I'll check it out


  • #4
    seandoiler
    Registered Users, Registered Users 2 Posts: 107 ✭✭seandoiler


    okay, so you calculated the area from the first part fine....now for the second part, you first need to find the points of intersection, so solve f(x)=g(x) for x and let's say we get a and b as the answers. now the area enclosed by f(x) and g(x) means the area in between both curves, so basically it's the area underneath f(x) from a to b minus the area under g(x) from a to b. so the necessary integral is integral from a to b of (f(x)-g(x)) dx...hope this makes sense


  • #5
    GreenShoot
    Closed Accounts Posts: 1 ✭GreenShoot


    Take a look at the Revision Packs at www.examsupport.ie. There are two free Maths Revision Packs on the Website. You can get an idea of the quality of the other Maths Revision Packs.


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