Question

Suppose f(x) is a continuous function. Then a function F(x) such that F'(x) = f(x) is called:

Answer 1

the indefinite integral of f.
the antiderivative of f.
an antiderivative of f.
a definite integral of f.
All of the above

Answer 2

@SithsAndGiggles

Answer 3

@perl

Answer 4

@e.mccormick

Answer 5

@dan815

Answer 6

@TheSmartOne

Answer 7

@ybarrap

Answer 8

So then the answer would be a definite integral of f

Answer 9

@perl

Answer 10

a definite integral is not quite the same thing as an antiderivative

Answer 11

Oh sorry I see you said can, not cannot.

Answer 12

definite integral:
$$
\Large \int_{a}^{b}f(x) ~ dx
$$
indefinite integral
$$
\Large \int f(x) ~ dx
$$

Answer 13

In calculus an antiderivative of a function f(x) is a differentiable function F(x) whose derivative is equal to the original function f(x). This can be stated mathematically as F '(x) = f(x)