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I don’t think we need to use derivatives and integrals on the midterm but don’t quote me on this. I think we derived these equations in lecture/notes to understand where these variables and equations come from.
They might give you the basic equation, ∆S = q/T and expect you to evaluate for the changing value specified in the problem, but as long as you have the formulas or the relationships between variables (like q = nC∆T) memorized, you should be able to work backwards to show the integration/get the formula you need.
I wouldn't expect integrals or derivatives to be on the midterm, I think they were just used to show how certain equations were derived. It can't hurt to review and know them, though.
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