Henstock's Paradox

Henstock's Paradox is an interesting situation in mathematics where a function's integral—think of it as its total "area"—can be very different depending on how we choose to measure or sum it up. Specifically, there are functions that, when integrated in a traditional way, give a certain value, but if we use a more flexible method that adjusts to the function's behavior, the total can be zero or another unexpected value. This paradox highlights that the way we define and compute integrals can lead to surprising and non-intuitive results, emphasizing the importance of choosing the right method for accurate mathematical analysis.