anonymous
  • anonymous
Which of the following describes the general anti-derivative of a function?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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).
anonymous
  • anonymous
@Loser66 can u help?
Loser66
  • Loser66
@Spacelimbus please help her.

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zepdrix
  • 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?
anonymous
  • anonymous
yes B and D?
zepdrix
  • zepdrix
It would eliminate A and C. See how they're producing a derivative as a result of integrating? That is not good.
anonymous
  • anonymous
okay
zepdrix
  • 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?
anonymous
  • anonymous
yes it does so it will be D!
zepdrix
  • zepdrix
Yay good job.
anonymous
  • anonymous
thanks!

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