Find the anti-derivative of the integral

Question

[(7t^2+6t-15)/t^4]dt

Answer 1

just divide each term by t^4 and you have

7/t^2 + 6/t^3 - 15/t^4

If that doesn't look familiar, think of it as

7t^-2 + 6t^-3 - 15t^-4

and then just apply the power rule as normal.