*[[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.
*[[integral|Integration]] -- find the area under a graph between two given limits.
*[[integral|Integration]] -- find the area under a graph between two given limits.
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The Fundamental Theorem of Calculus says that the two operations are inverses -- to find the area under the graph of f(x) between a and b, find the function g(x) whose derivative is f(x) (that is, find the ''antiderivative'' of f). The area under the graph of f between x=a and x=b is just g(b)-g(a).