Mathematical Analysis

Integral Calculus

What is an indefinite integral?

From the above, we learned that when the limits of integration (in the case of a and b above) are specified, it is called a definite integral. Contrarily, if no limits are specified, it is called an indefinite integral. Thus, the indefinite integral is most often defined as a function that describes an area under the function’s curve from some undefined point to another arbitrary point. This lack of a specified first point leads to an arbitrary constant (usually denoted as C) that is always part of the indefinite integral.


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