# Constants and limits

#### pleasehelpme

##### New member
So I have this question:

And I just want to check my answer. Am I right? I think that the first formula is the theorem of integration so a and b are limits o integration and I'm not sure about the second formula, I think it's the anti derivative formula making that the anti derivative constant? Or is it another from of the integration formula, making it a constant of integration? Can you help? Thanks!

#### Jameson

##### Administrator
Staff member
Re: Constants and limits question?

Hmm, this seems a little pedantic for my taste but this article might help you out.

#### Prove It

##### Well-known member
MHB Math Helper
So I have this question: View attachment 1970

And I just want to check my answer. Am I right? I think that the first formula is the theorem of integration so a and b are limits o integration and I'm not sure about the second formula, I think it's the anti derivative formula making that the anti derivative constant? Or is it another from of the integration formula, making it a constant of integration? Can you help? Thanks!
I would call C the constant of integration. There's no real reason it's not called an antiderivative constant, it's just I've never heard it be called that before.

#### pleasehelpme

##### New member
Thanks...I'm just still not sure. Isn't f(x)dx=F(x)+C an antiderivative formula? or is it an integration formula? I honestly just can't remember. You're probably right but if it's an antiderivative formula then it's an antiderivative constant. I know F(x) is any antiderivative of f when F'(x)=f(x) but does that mean that f(x)dx=F(x)+C is an antiderivative formula?

#### Jameson

##### Administrator
Staff member
If you look at the link I posted for you, you'll see it's called the "constant of integration". I would definitely go with that.

#### pleasehelpme

##### New member
Yeah, you're right. Hopefully my professor will review all of the questions before our real test next week too. Thanks for all your help!

#### Prove It

##### Well-known member
MHB Math Helper
Thanks...I'm just still not sure. Isn't f(x)dx=F(x)+C an antiderivative formula? or is it an integration formula? I honestly just can't remember. You're probably right but if it's an antiderivative formula then it's an antiderivative constant. I know F(x) is any antiderivative of f when F'(x)=f(x) but does that mean that f(x)dx=F(x)+C is an antiderivative formula?
Antidifferentiation is sometimes called "indefinite integration", so it falls under integration.