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Homework Help: Find area of e^x on interval [0,ln(9)]

  1. Apr 22, 2010 #1
    1. The problem statement, all variables and given/known data

    g(x)=ex and the x-axis on the interval [0,ln(9)]

    a) Set up definite integral that represents area
    b) Find area using fundamental theorem.

    2. Relevant equations



    3. The attempt at a solution
    g(x)=ex [0,ln(9)]
    [tex]
    \int^{ln(9)}_{0}e^x dx
    [/tex]
    = [eln(9)]-[e0]
    = [9]-[1]
    = 8 square units


    There's no way it was that easy... Did I mess up somewhere?
     
  2. jcsd
  3. Apr 22, 2010 #2

    Dick

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    Not all problems have to be hard.
     
  4. Apr 22, 2010 #3
    Yeah, I know. :) It's jut that it's worth 15 out of 100 points on our lab and our professor usually makes those questions the most difficult. It's unusual to have one so simple.
     
  5. Apr 22, 2010 #4

    Dick

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    Maybe. But I don't see how to interpret it as complicated.
     
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