Antiderivatives of Powers of x (9.1.2)

Question 1

• Given two functions, f and F, F is an antiderivative of f if F (x) = f(x). Antidifferentiation is a process or operation that reverses differentiation.

Answer 1

• Given two functions, f and F, F is an antiderivative of f if F (x) = f(x). Antidifferentiation is a process or operation that reverses differentiation.

Question 2

• If a function has an antiderivative, then it has an infinite number of antiderivatives. The most general antiderivative includes an arbitrary constant of integration.

Answer 2

• If a function has an antiderivative, then it has an infinite number of antiderivatives. The most general antiderivative includes an arbitrary constant of integration.

Question 3

• The properties of antidifferentiation mirror the properties of differentiation.

Answer 3

• The properties of antidifferentiation mirror the properties of differentiation.