What is the process of finding the antiderivative called?

The process of finding the antiderivative is known as integration. When you integrate a function, you are effectively reversing the process of differentiation, allowing you to retrieve original functions from their derivatives. Integration is a fundamental concept in calculus and has widespread applications in areas such as physics, engineering, and economics.

When seeking an antiderivative, you apply the rules of integration, which include various techniques like substitution, but substitution itself is not the name of the process; it is merely a method used within integration. Differentiation, on the other hand, is concerned with finding the derivative, which is the opposite operation to integration. Factorization involves breaking down expressions into their multiplicative components and does not pertain to finding antiderivatives. Thus, integration is indeed the correct term that encompasses the overall process of determining antiderivatives.