17 - The continuity of the derivative as a basis for the integrability of a function

A while ago we learned that a continuous and differentiable function has derivatives that are all also continuous.

In a sense, any function that is continuous is a derivative of some other function.

If that's the case, we can integrate to find the function it's a derivative of, and that's exactly it:

Continuity implies integrability.

Example:

If a function is continuous, it's integrable.

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