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Homework Help: Simple Integral question! (Exponents)

  1. Nov 29, 2008 #1
    1. The problem statement, all variables and given/known data
    [tex]\int \frac{6^x+12^x}{2^x}dx[/tex]

    2. Relevant equations
    [tex]\int a^udu= \frac{a^u}{ln a} +C[/tex]

    3. The attempt at a solution
    I don't know where to begin, I tried using parts but gave up.
  2. jcsd
  3. Nov 29, 2008 #2


    Staff: Mentor

    Make your life simpler by getting rid of the denominator.

    6^x = (2 * 3)^x = 2^x * 3^x. You can apply the same idea to 12^x.
  4. Nov 29, 2008 #3
    I will immediately try that, thanks!
  5. Nov 29, 2008 #4
    Wohoo!! It worked!

    You are awesome, thank you!
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