I have an integration problem.

Question

INT(t+8)^2/t^4 dt

Answer 1

expand (t+8)^2 , then divide each by t^4 to get 3 separate terms

(t^2 + 16t + 64)/t^4
= t^-2 + 16t^-3 + 64t^-4

now it is easy to integrate each of those three terms.