Difference between revisions of "Indefinite integral"
Jump to navigation
Jump to search
(New page: An '''indefinite integral''', or antiderivative, is an integral without upper and lower limits. There is an infinite number of antiderivatives for a given function, because each indef...) |
m (Link) |
||
| Line 1: | Line 1: | ||
An '''indefinite integral''', or antiderivative, is an [[integral]] without upper and lower limits. | An '''indefinite integral''', or antiderivative, is an [[integral]] without upper and lower limits. | ||
| − | There is 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 is 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. |
| + | |||
[[category:mathematics]] | [[category:mathematics]] | ||
Revision as of 23:51, November 12, 2007
An indefinite integral, or antiderivative, is an integral without upper and lower limits.
There is 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.