#### Paradoxica

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**Re: HSC 2018 MX2 Integration Marathon**

There is a mathematical algorithms paper exploring the construction of an algorithm that can find the continuous primitive of these example periodic functions which are typically done using substitutions that result in countable discontinuities.The next task is to find the indefinite integral. Of course the answer is not sin x-cos x+c.

Hint: You may consider the floor function.