Antiderivatives are related to definite integrals through the fundamental theorem of calculus: the definite integral of a function over an interval is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval.

What is the difference between antiderivative and integral?

The answer that I have always seen: An integral usually has a defined limit where as an antiderivative is usually a general case and will most always have a +C, the constant of integration, at the end of it. This is the only difference between the two other than that they are completely the same.

Why is an integral an antiderivative?

You can divide up the area between x=A and x=B under a function by putting a mess of rectangles under it. ... The area under the function (the integral) is given by the antiderivative! Again, this approximation becomes an equality as the number of rectangles becomes infinite.