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Area Bounded by a Curve.

  1. Apr 5, 2013 #1
    Find the area bound by the curve y = x^3 - 2x^2 - 5x + 6, the x-axis and the lines x = -1 and x = 2. The answer is 157/12.

    The curve cuts the x-axis at x = -2, 1 and 3. I've shown my general idea on the attachment. I didn't end up with the correct answer so could somebody explain to me where I've gone wrong?
  2. jcsd
  3. Apr 5, 2013 #2
  4. Apr 5, 2013 #3


    Staff: Mentor

    Your integral for the interval [1, 2] is not set up correctly. It should look like this:
    $$\int_1^2 (0 - y)dx $$
    Do you see why?

    BTW, do not discard the three parts of the homework template. They are there for a reason.
  5. Apr 5, 2013 #4
    Thanks for that. The graph goes below the x-axis.
    I sent that from my phone and the templates don't actually show for you to use.
    Thanks again.
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