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# Find the most general antiderivative of the function. (Check your answers by differentiation.)$f(x) = e^2$

## $F(x)=x e^{2}+C$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

So we're being asked to find general into Druid of the function F of X equals the square. So we did the integral of effort back DX. That is going to be the integral of East Square DX. However, if you look at this, you square well is just a constant just two point seven one two something and that just oil of number and two is also just a numbers of each squared is actually just a constant. So you can rewrite this integral of e squared times the integral of DX. And since the integral of there's supposed to be like you imagine, like the imaginary one right here and are not not none imaginary one, but you can think of. But there's like a one right there. And danger, kal of a constant just dig. The concept is just a variable that we are integrating, which in this case is act is gonna become act. Well, that's right. It's going to come e square Times X and then remember the plus constant and nationally, this is it

#### Topics

Derivatives

Differentiation

Volume

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp