Evaluate the Integral

  • Thread starter IamBatman
  • Start date
  • #1
6
0

Homework Statement



Hi guys, so I've been having some trouble with this specific integral, and would like some help on how to solve it.


[itex]\int^1_0\sqrt{1+e^{-x}}/e^x[/itex].




2. The attempt at a solution

Editing

Next stage I'm sort of confused because I've never encountered two variables with "u".
 
Last edited:

Answers and Replies

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,796
1,668
With you u substitution, all you have done is replace 'x' with 'u'. You haven't done any essential simplification to the integrand.

I would suggest looking at integration by parts. If you can find candidates for u and v with parts, then further substitution might be warranted.
 
  • #3
6
0
With you u substitution, all you have done is replace 'x' with 'u'. You haven't done any essential simplification to the integrand.

I would suggest looking at integration by parts. If you can find candidates for u and v with parts, then further substitution might be warranted.
Yeah I wasn't sure if I should substitute more lol or just go through with algebra. Thanks.
 
  • #4
Actually usub does work. Re write e^x in the denominator as e^-x times the squareroot expression. u=e^-x+1. does it looks like du could be written in terms of e^-x?
 
  • #5
6
0
I figured it out

IT HAS BEEN SOLVED :)!
 
  • #6
BruceW
Homework Helper
3,611
120
I am Batman.
 

Related Threads on Evaluate the Integral

  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
16
Views
3K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
2
Views
831
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
4
Views
2K
Top