When one wants to let students calculate (Riemann) integrals in calculus, what is a good term to call this task?
If you want to focus on what the main task is, you may call it "Calculate the definite integral" or "Integrate a function", but as long as the function is continuous, one might use terms like calculating the "primitive function" or "antiderivative" (In Germany the only science-related term is "Stammfunktion" (=primitive function), but some people came up with the non-scientific term artificial term "Aufleitung" (maybe, a good "translation" would be "ascrivative") meant to be the opposite of a derivative ("Ableitung" in German)). However this covers only a part of real world integrals, since the concept of integration is much more general than only being the opposite of taking derivatives.
What are (dis)advantages of using terms like "antiderivative" instead of "integrating" or "primitive function"?