Difference between revisions of "Indefinite integral"
Jump to navigation
Jump to search
m (subcat) |
|||
| Line 3: | Line 3: | ||
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. | ||
| − | [[category: | + | [[category:calculus]] |
Revision as of 17:17, 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.