Question

Which of the following describes the general anti-derivative of a function?

Answer 1

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).

Answer 2

@Loser66 can u help?

Answer 3

@Spacelimbus please help her.

Answer 4

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?

Answer 5

yes B and D?

Answer 6

It would eliminate A and C.

See how they're producing a derivative as a result of integrating? That is not good.

Answer 7

okay

Answer 8

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?

Answer 9

yes it does so it will be D!

Answer 10

Yay good job.

Answer 11

thanks!