Here's the question you clicked on:
onegirl
Which of the following describes the general anti-derivative of a function?
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).
@Spacelimbus please help her.
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?
It would eliminate A and C. See how they're producing a derivative as a result of integrating? That is not good.
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?
yes it does so it will be D!