Difference between revisions of "Indefinite integral"
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There are an [[infinite]] number of antiderivatives for a given function, because each indefinite [[integral]] can have an arbitrary constant added to it which disappears upon integration. However, the [[fundamental theorem of calculus]] relates a [[definite integral]] to an indefinite integral by taking its value at the boundary points. | There are an [[infinite]] number of antiderivatives for a given function, because each indefinite [[integral]] can have an arbitrary constant added to it which disappears upon integration. However, the [[fundamental theorem of calculus]] relates a [[definite integral]] to an indefinite integral by taking its value at the boundary points. | ||
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| + | == See Also == | ||
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| + | *[[Integral]] | ||
| + | *[[Definite integral]] | ||
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[[category:calculus]] | [[category:calculus]] | ||
Revision as of 17:19, July 14, 2008
An indefinite integral, or antiderivative, is an integral without upper and lower limits.
There are an infinite number of antiderivatives for a given function, because each indefinite integral can have an arbitrary constant added to it which disappears upon integration. However, the fundamental theorem of calculus relates a definite integral to an indefinite integral by taking its value at the boundary points.