The antiderivative of a function is the reverse process of differentiation. It can be thought of as finding a function whose derivative is equal to the given function.

The antiderivative is denoted as ∫f(x)dx, where f(x) is the function and dx represents the variable of integration.

Examples of finding antiderivatives include:

1. The antiderivative of f(x) = 3x^2 is F(x) = x^3 + C, where C is the constant of integration.
2. The antiderivative of f(x) = 5x^4 - 2x^3 + 7 is F(x) = (5/5)x^5 - (2/4)x^4 + 7x + C.
3. The antiderivative of f(x) = cos(x) is F(x) = sin(x) + C.
4. The antiderivative of f(x) = e^x is F(x) = e^x + C, where e denotes the natural logarithm base.

Note that the constant of integration (C) is added to represent the family of functions that are all antiderivatives of the given function.