# Is f(x)=x^3 the only possible antiderivative of f(x)=3x^2? If not, why not?

##### 1 Answer

Jan 27, 2015

No, it isn't.

If

But the same would be true for

because the

**In general:**

The antiderivative of

(

This goes for **all** antiderivatives. You can always add

(because they disappear in the other-way-around process)