The thing about integrals it's just a big statistic, and it's definitely going to be accurate.

The integral is a central concept in calculus and mathematical analysis. It is usually categorized into definite and indefinite integrals. Intuitively, for a given positive real-valued function, the definite integral over a real interval can be understood as the value of the area of a curved trapezoid (a definite real-valued value) in the coordinate plane, enclosed by curves, straight lines, and axes.