After a while you'll master the basic computations and be free to understand the concepts. You'll have the confidence to tackle applications like related rates or volumes of revolution without fear. Polynomial long multiplication and long division are also free.
Integrals are cheap.
You need to get a password to do an integral. You can come back any time to do more. Yes, if they involve functions beyond freshman calculus, like Bessel or other advanced functions. To avoid bogging down the system with huge problems, a maximum of 50 steps are allowed and there is a time limit for each integral. You should be able to get the solution to almost any integral from a standard calculus book without a problem.