Tricky Integration

  • Thread starter jj2443
  • Start date
  • #1
jj2443
10
0

Homework Statement



Suppose that the 0[tex]\int[/tex]1 g(t)dt=5.
Compute the value of 1[tex]\int[/tex]e g(ln(t))/t dt

Homework Equations





The Attempt at a Solution


I think that u substitution is the best way to solve.
If you set u=ln(t), then du=1/t dt which is in your integration. I do not know how to incorporate the given value of the integral of g(t) into the second integration, especially because the bounds of integration are different.

Thank you for any help!
 

Answers and Replies

  • #2
Char. Limit
Gold Member
1,208
22
When you u-substitute, substitute your boundaries as well. For example, when t = 1, what is ln(t)? Repeat with e.
 

Suggested for: Tricky Integration

  • Last Post
Replies
10
Views
875
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
5
Views
3K
Replies
2
Views
2K
Replies
3
Views
2K
Replies
7
Views
873
Replies
11
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
4
Views
1K
Top