Yes, I prefer introducing integral calculus prior to differential for various reasons, one of which is that I believe that the former should not be dependent on the latter (my reasoning for this approach is very sound, in my opinion). The two disciplines are each introduced on their own merits with the inverse relationship between the two being discovered soon thereafter. These are my notes introducing differential calculus.
Click on secant line and adjust slider.
Thanks for looking.
Reference
Courant, Richard., John, Fritz (1999). Introduction to Calculus and Analytics: Classics of Mathematics. New York, NY: Springer-Verlag Berlin Heidelberg.