An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant.
A definite integral is an infinitesimal sum derived from a integrable function, that is, a function that exist for all value x within the range of integration.
[tex]\int {f(x)} \, dx = \lim_{n \to \infty} \sum\limits_{i=0}^{n} f(x) \Delta x + C[/tex] (1)
Where C is the integration constant.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant. [tex]\blacksquare[/tex]
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