Solve Tricky Integration: Compute Value of 1∫g(ln(t))/t dt

[jj2443]

Homework Statement

Suppose that the ₀\int¹ g(t)dt=5.
Compute the value of ₁\int^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!

 

[Char. Limit]

When you u-substitute, substitute your boundaries as well. For example, when t = 1, what is ln(t)? Repeat with e.