An antiderivative of a function is represented by a function such that the derivative of is . Essentially, an antiderivative reverses the process of differentiation. For example, antiderivative of is because if we take the derivative of , we get .
More generally, if , then is an antiderivative of .
It’s important to note that the antiderivative is not unique; adding any constant to an antiderivative results in another valid antiderivative. The family of antiderivatives of a function is often written as:
where is the constant of integration.