Changes

Integration has many physical applications.  The indefinite integral of a time function of acceleration with respect to time gives the velocity function defined to within a constant, while the definite integral of a time function with respect to time gives the change in velocity between the upper and lower limits of integration.  Likewise, the indefinite integral of a time function of velocity with respect to time gives the position function defined to within a constant, and the definite integral of this velocity function will give the change in position between the two limits of integration.

Integration has many physical applications.  The indefinite integral of a time function of acceleration with respect to time gives the velocity function defined to within a constant, while the definite integral of a time function with respect to time gives the change in velocity between the upper and lower limits of integration.  Likewise, the indefinite integral of a time function of velocity with respect to time gives the position function defined to within a constant, and the definite integral of this velocity function will give the change in position between the two limits of integration.

Integration is the inverse function of [[derivative|derivation]], and is related to it by the [[Fundamental Theorem of Calculus]].

Integration is the inverse function of the [[derivative]], and is related to it by the [[Fundamental Theorem of Calculus]].

==Properties of intergrals==

==Properties of intergrals==