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Basic math. When you begin calculus you will move into intermediate mathematics.
Precalculus is not something that was invented. It is merely the things about mathematics that you need to know before you can begin the study of calculus.
Calculus; by a long shot.
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.
It is certainly used in calculus, just as calculus can be used in trigonometry.