Integral of 1/(2^x)

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gnick
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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!
 

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Well
1/2^x=(1/2)^x
what is
((1/2)^x)'
?
 
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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