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Find the integral

  1. Jun 26, 2008 #1
    1. The problem statement, all variables and given/known data

    Integral e[tex]^{}x[/tex][tex]\sqrt{}1+e^{}x[/tex] dx

    2. Relevant equations
    using the formula: integral e^x dx:e^x+C

    3. The attempt at a solution
    I tried basic substitution:
    making u=sqrt 1+e^x, and when trying to find du I'm not sure on what to do next
     
  2. jcsd
  3. Jun 26, 2008 #2

    Dick

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    Science Advisor
    Homework Helper

    Just try u=(1+e^x). I think you'll find it goes more simply.
     
  4. Jun 26, 2008 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Do you mean
    [tex]\int e^x\sqrt{1+ e^x}dx[/tex]

    If so just u= 1+ ex is sufficient.

    (Put your "x" inside the "{ }" in tex!

    2. Relevant equations
    using the formula: integral e^x dx:e^x+C

    3. The attempt at a solution
    I tried basic substitution:
    making u=sqrt 1+e^x, and when trying to find du I'm not sure on what to do next[/QUOTE]
     
  5. Jun 26, 2008 #4
    thanks!!
     
  6. Jun 26, 2008 #5
    Solved:
    2/3 sqrt(1+e^x)^3
     
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