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Homework Help: Problems with Integration.

  1. Nov 24, 2009 #1
    1. The problem statement, all variables and given/known data

    Problem: Find the area of the region that is bounded by the graphs of f(x) = 2x+1, and g(x) = x^2 +1

    I have calculated the points of intersection, but am having trouble figuring out which is the upper graph over this interval:

    x=0 & x=2

    Are there any resources you can point me to so as I can learn to distinguish?

    Many thanks in advance.
  2. jcsd
  3. Nov 24, 2009 #2


    Staff: Mentor

    • Brain
    • Hand
    • Paper
    • Pencil
    Sketch a graph of the two functions. One graph is a straight line; the other is a parabola.

  4. Nov 24, 2009 #3
    Ha sounds good man.

    Another question:

    I have the anti derivative from 0 to 2 (2x-x^2) dx

    and then the example states we get (x^2 - (x^3)/3) over the same interval.

    My question is about the 2x after we integrate it we get x^2.

    So if we have 4x would it be x^2 or x^4?

  5. Nov 24, 2009 #4


    Staff: Mentor

    Do you know any rules for antiderivatives? Do you know how derivatives and antiderivatives are related?
  6. Nov 24, 2009 #5
    I am having trouble with them.
  7. Nov 24, 2009 #6
    I do know the basics in how they are related I guess you could say
  8. Nov 24, 2009 #7


    Staff: Mentor

    What rules do you know?

    OK, how are they related?
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