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Really stuck on an easy questionintegral of 1/(2^x)

  1. Aug 21, 2013 #1
    Hi there!
    I am stuck on how to work out the integral of 1/(2^x) and was hoping someone could guide me step by step to the answer? so confused and would really appreciate the help thanks!
     
  2. jcsd
  3. Aug 21, 2013 #2

    lurflurf

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    Homework Helper

    Well
    1/2^x=(1/2)^x
    what is
    ((1/2)^x)'
    ?
     
  4. Aug 21, 2013 #3

    HallsofIvy

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    It might help you to recognize that [itex]1/2^x= 2^{-x}[/itex]. Also, [itex]2^{-x}= e^{ln(2^{-x})}= e^{(-ln(2)x)}[/itex].
     
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