Tricky Integration

  • Thread starter jj2443
  • Start date
  • #1
10
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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
1,204
14
When you u-substitute, substitute your boundaries as well. For example, when t = 1, what is ln(t)? Repeat with e.
 

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