Hi guys. I'm having a bit of trouble with what I thought was a simple math question.
Homework Statement
x_{n} = \int_0^1 \frac{t^n}{t+7}dt
Show that x_0=ln(8/7) and x_n = n^{-1} - 7x_{n-1}
2. The attempt at a solution
Showing x0 = ln(8/7) is a vanilla textbook log question. I'm having...