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Homework Help: Integration with a fraction

  1. Jun 13, 2012 #1
    Can someone please help me with this problem. Please see the attached image.

    The integration when removing the min and max is also provided, how is the answer x2/2 - x3/6? Do we not do anything with the 1 - 1/2 part? and the +2 part? Are we only looking at (x2-2x)/2?

    I appreciate the help.

    Attached Files:

  2. jcsd
  3. Jun 13, 2012 #2


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    The integrand is x - x2/2.
  4. Jun 13, 2012 #3


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    [tex]-\frac{1}{2}\left(x^2- 2x+ 2\right)= -\frac{1}{2}x^2+ x- 1[/tex]
    Adding 1 to that gives the integrand
    [tex]-\frac{1}{2}x^2+ x[/tex]
    as mathman says.
  5. Jun 13, 2012 #4
    Thanks, that is exactly what I needed to know.
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