This is entirely new to me
It’s an amazing topic anyway
Nice one!
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Integrating rational functions is, in my opinion, a complex topic. It all starts with understanding how to write the integral, which I've included below. The integral is represented almost everywhere with an elongated letter s, which describes the interval of integration; in the example below, it's written in blue. After the integral, the function to be integrated is described; in the example below, it's written in red. Finally, we need to describe where we add the slices of infinitesimal width, and in this case, we do so on the x-axis (in the example below, the term representing this is written in black).
!CTP