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Find the integral

  • Thread starter jimen113
  • Start date
  • #1
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Homework Statement



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

Homework Equations


using the formula: integral e^x dx:e^x+C

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
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Just try u=(1+e^x). I think you'll find it goes more simply.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
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Homework Statement



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

Homework Equations


using the formula: integral e^x dx:e^x+C

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]
 
  • #4
67
0
thanks!!
 
  • #5
67
0
Solved:
2/3 sqrt(1+e^x)^3
 

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