I just had a student ask me the question:

The student was trying to do this using a geometric series to represent the integrand. I haven't yet looked it up in my Calc book, but if I ever knew the method I've completely forgotten it. Any takers?Using 20 terms, estimate f(0.6) where

$\displaystyle f(x) = \int_0^x \frac{dt}{1 + t^3}$

Thanks!

-Dan