부정적분의 뜻과 계산

Define the term “antiderivative” in your own words.

Is it more accurate to refer to “the” antiderivative of $f(x)$ or “an” antiderivative of $f(x)$?

Use your own words to define the indefinite integral of $f(x)$.

Fill in the blanks: “Inverse operations do the _____ things in the _____ order.”

What is an “initial value problem”?

The derivative of a position function is a _____ function.

The antiderivative of an acceleration function is a _____ function.

If $F(x)$ is an antiderivative of $f(x)$, and $G(x)$ is an antiderivative of $g(x)$, give an antiderivative of $f(x)+g(x)$.