# What is the antiderivative of a constant?

##### 1 Answer

Dec 31, 2015

I find it simpler to think of this looking at the derivative first.

#### Explanation:

I mean: what, after being differentiated, would result in a constant? Of course, a first degree variable.

For example, if your differentiation resulted in

So, the antiderivative of a constant is it times the variable in question (be it

We could put it this way, mathematically:

Note that

That means first degree variable being differentiated: