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Homework Help: Area between 3 Equations

  1. Sep 25, 2014 #1
    1. The problem statement, all variables and given/known data

    Sketch the region enclosed by y=e^(5x), y=e^(9x), and x=1. Decide whether to integrate with respect to x or y. Then find the area of the region.

    2. Relevant equations

    3. The attempt at a solution

    I tried graphing all the lines but they the e^(9x) line never seem to reach x=1 so they dont all intersect.
  2. jcsd
  3. Sep 25, 2014 #2


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    Science Advisor

    Surely you know that e^(9*1)= e^9? That's a very large number (larger than 8000) but is still finite! The area of the region is [itex]\int_0^1 (e^{9x}- e^{5x})d[/itex].
  4. Sep 25, 2014 #3
    Thanks! I got it. Its 870.7489
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