The Application of Definite Integral In Different Aspects

Abstract

A definite integral is a form of a calculation of area beneath of function, using infinitesimal silver or stripes of the region. Different from indefinite integral which representing a function, definite integral is a specific value. The value of a definite integral only depends on the interval of this integral, which means for the same function and interval, the result won’t change with different variables. Integrals may represent the area of a region, the accumulated value of a function changing over time, or the quantity of an item given its density. This method can be used to solve many problems in different fields. This paper will explore some applications of definite integral. This article first introduces the applications of definite integrals in geometry, and then studies their applications in physics, such as variable force work and pumping work. Finally, how to use the properties of definite integrals to solve limit problems will be further studied.