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Fundamental theorem of calculus (view source)
Revision as of 22:07, November 5, 2007
, 22:07, November 5, 2007no edit summary
'''The Fundamental Theorem of Calculus''' is the rather remarkable result that the two fundamental operations of [[calculus]] are just inverses of each other. Those two operations are performed on [[functions]] from the [[real numbers]] to the real numbers, and are most easily visualized when the functions are expressed in terms of graphs. The operations are:
'''The Fundamental Theorem of Calculus''', first proven by [[James Gregory]], is the rather remarkable result that the two fundamental operations of [[calculus]] are just inverses of each other. Those two operations are performed on [[functions]] from the [[real numbers]] to the real numbers, and are most easily visualized when the functions are expressed in terms of graphs. The operations are:
*Differentiation -- find the slope of a function's graph at a given point.
*Differentiation -- find the slope of a function's graph at a given point.
*Integration -- find the area under a graph between two given limits.
*Integration -- find the area under a graph between two given limits.