Those verses are Paul's narration of his pre-conversion years trying to live according to the Law of Moses...and failing.I think that it is (Romans 7:18 and context).
Haven't you experienced the answer to Paul's "Who will free me from the body of this death?"
It is in Rom 6:6..."Knowing this, that our old man is crucified with him, that the body of sin might be destroyed, that henceforth we should not serve sin."
If there were indwelling sin, it would have been destroyed with the "carrying case".