## onegirl 2 years ago Which of the following describes the general anti-derivative of a function?

1. onegirl

A. The anti-derivative of f (x) is integral sign f(x)dx = f'(x): , where f ‘(x) is the derivative of f(x). B. The anti-derivative of f (x) is integral sign f(x)dx = F(x): , where f(x) is the derivative of F(x). C. The anti-derivative of f (x) is integral sign f(x)dx = f'(x) + C: , where f ‘(x) is the derivative of f(x). D. The anti-derivative of f (x) is integral sign f(x)dx = F(x) + C : , where f(x) is the derivative of F(x).

2. onegirl

@Loser66 can u help?

3. Loser66

4. zepdrix

Taking the integral of f(x) should not produce the `derivative f'(x)`. It should produce the anti-derivative. That information should allow us to cross off two of our options, do you see which?

5. onegirl

yes B and D?

6. zepdrix

It would eliminate A and C. See how they're producing a derivative as a result of integrating? That is not good.

7. onegirl

okay

8. zepdrix

So that leaves us with B or D? They're very similar. D claims that we should be getting a constant when we integrate. B does not. It's one of those two. Hmmmm. Can you remember anything about integrals? :) Does a constant of integration sound like something familiar, or no?

9. onegirl

yes it does so it will be D!

10. zepdrix

Yay good job.

11. onegirl

thanks!