Question

How do I integrate this:

x cubed + 1
---
x to the power of -3

Answer 1

First look at the expression to see if there are possibilities of simplification.
(x³+1)/x^-3
=(x³+1)*x³
=x³ * x*³ + 1 * x³
=x⁶ + x³

Can you integrate the simplified expression?