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Definite Integral of Absolute Value Function (Calc I)

  1. Mar 25, 2013 #1
    1. The problem statement, all variables and given/known data

    $$\int_{0}^{\ 2\pi} \ |e^{sin(x)}cos(x)| \, dx$$

    I know that it simplifies to $$ 2e- \frac{2}{e} ≈ 4.7 $$ I'm not sure how to approach this problem. Do I just break the integral up into the domains where it's positive and negative and integrate each component separately as I would with a much simpler absolute value function?

    Thanks in advance,

    physicsdreams
     
  2. jcsd
  3. Mar 25, 2013 #2

    Dick

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    Yes, that's exactly what you should do.
     
  4. Mar 25, 2013 #3
    Wow, you're quick! Thanks for the help, Dick. I was hoping there would be a less tedious method to go about solving problems such as these, but I guess that's math for ya'.

    Thanks again!
     
  5. Mar 25, 2013 #4

    Dick

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    Well, it was a pretty easy answer. You're very welcome.
     
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