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Integration problem 3, don't know what method to use (tried substitution and parts)

  1. Feb 25, 2009 #1
    1. The problem statement, all variables and given/known data

    Indefinite integral:
    e^(4x+(e^4x))


    2. Relevant equations

    I'm thinking integration by parts, involving UV minus integral of Vdu

    3. The attempt at a solution
    So I saw that this can be split into two: e^(4x) times e^(e^4x)).
    The latter is a bit complicated. I searched on google but couldn't find anything useful. Substitution U for 4x or e^4x doesn't seem to work...
     
  2. jcsd
  3. Feb 25, 2009 #2

    Dick

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    Re: Integration problem 3, don't know what method to use (tried substitution and part

    What's the derivative of e^(e^(4x))?
     
  4. Feb 25, 2009 #3
    Re: Integration problem 3, don't know what method to use (tried substitution and part

    umm... I'm gonna take a guess and say e^4 or e^e^4? But how is it done? I am a bit confused on it.
     
  5. Feb 25, 2009 #4

    Dick

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    Re: Integration problem 3, don't know what method to use (tried substitution and part

    Use the chain rule. Don't guess.
     
  6. Feb 25, 2009 #5
    Re: Integration problem 3, don't know what method to use (tried substitution and part

    With chain rule, is it 4(e^4)?
     
  7. Feb 25, 2009 #6

    Dick

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    Re: Integration problem 3, don't know what method to use (tried substitution and part

    Where did the x go? I think you should review the chain rule before you answer again.
     
  8. Feb 25, 2009 #7
    Re: Integration problem 3, don't know what method to use (tried substitution and part

    well, derivative of e^4x is 4e^4x. So that must be an element of the entire answer.
    So it will be (something)(4e^4x). But how do you go about deriving the first run?
     
  9. Feb 25, 2009 #8

    Dick

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    Re: Integration problem 3, don't know what method to use (tried substitution and part

    Use parentheses to group things, ok? The derivative of f(g(x)) is f'(g(x))*g'(x). What are f and g?
     
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