Antiderivative Definition

An antiderivative is a function whose derivative is equal to the given function. For example, one antiderivative of is because if we take the derivative of we get .

In general, the relationship between a function and an antiderivate is expressed like this:

It’s important to note that there are many antiderivatives of a function. Adding any constant to an antiderivative results in another valid antiderivative. For example, if we add to the antiderivative above, we get another valid antiderivative.