MTH 161 Lecture Notes - Lecture 22: Antiderivative
Document Summary
Provide a generalization to each of the key terms listed in this section. A function"s antiderivative, which is sometimes called a primitive , is a function, which is talking about f and not f in this case, that has a derivative of f , which can be expressed by the following: If you let f (x) is f (x)"s antiderivative on an interval, then that means that every f (x)"s antideriva- tives, which can be written with g(x) is actually on the following form while c is any constant: H (x) = g (x) f (x) (x) = g (x) H (x) = f (x) f (x) = 0. G (x) f (x) + f (x) = c + f (x) A function"s general antiderivative occurs when if you let f (x) be f (x)"s antiderivative, which would then make the following (which is f (x)"s actual general antiderivative) with c being the arbitrary constant:
