1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    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

    User Avatar
    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
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook