Can anyone check my work here and if I went wrong, tell where and how and why etc etc. Thanks!
Question:
Decide whether the improper integral converges or diverges and if it converges, give it's value:
discontinuous at x=9, so rewrite the right endpoint in terms of a limit:
substitute u=9-x, and since this is a definite integral, we need to change the limits of integration:
Thus the limit equals a finite number, and the integral converges to .
So my original answer was correct despite my mistakes? how odd!
Thanks all for your help. I'm doing this paper by correspondence so this is the only place (other than the textbooks) I can turn for advice/help when I get stuck or just when I want confirmation I'm on the right track.