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Area between two curves

  1. Sep 7, 2008 #1
    1. The problem statement, all variables and given/known data

    find the area bounded by the parabolas [tex]y=2x^2-x-15[/tex] and [tex]y=x^2-4x-5[/tex]

    2. Relevant equations

    3. The attempt at a solution

    [tex]x^2+3x-10=0[/tex]
    I got x = 2 and x = -5; is that right?
    If so, why do I keep getting an area of 76.17 when I integrate from -5 to 2? I end up with [tex](2.67+6-20)-(41.67+37.5+50)[/tex]
     
  2. jcsd
  3. Sep 8, 2008 #2
    Graph the equations and then consider calculating the area by integrating them in three parts and adding up the absolute values of the area.
     
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