I'm doing something wrong. I get $\displaystyle -6 x^{-2} /2 + 2 x^{-6} /6$.
Procedure; .
I separated the 6 and 2, then brought the denominators up getting $\displaystyle 6 \int x^{-3} - 2 \int x^{-7}$. Do I apply the power rule at this point?
I'm doing something wrong. I get $\displaystyle -6 x^{-2} /2 + 2 x^{-6} /6$.
Procedure; .
I separated the 6 and 2, then brought the denominators up getting $\displaystyle 6 \int x^{-3} - 2 \int x^{-7}$. Do I apply the power rule at this point?
Your writing of integrals needs work. You can't leave off the $\displaystyle dx$'s.
It should read $\displaystyle 6\int{x^{-3}\,dx} - 2\int{x^{-7}\,dx}$.