257
edits
Changes
Jump to navigation
Jump to search
Line 16:
Line 16: + + + +
added methods of integration subsection
Integration has many physical applications. The indefinite integral of an [[acceleration]] function with respect to time gives the [[velocity]] function defined to within a constant, while the definite integral of an acceleration 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 an [[acceleration]] function with respect to time gives the [[velocity]] function defined to within a constant, while the definite integral of an acceleration 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.
=== Methods of Integration ===
{{main|Methods of integration}}
There are many different ways to integrate functions. Sometimes, when it is impossible to directly integrate a function, an approximation is used, such as the [[Riemann integral]]. Or, there may be a process to integrate the function using a rule, such as with [[Integration by parts]].
==Types of Integrals==
==Types of Integrals==