# Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Repetitorium/13/Use of hyperbolic functions/Studentenfrage/Antwort

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My favorite use case for the hyperbolic functions is Beispiel 20.11 in which they are used to compute the integral of ${\displaystyle {}{\sqrt {x^{2}-1}}}$. As far as I know this is - apart from exercises - the only other occurence of the hyperbolic functions in this course, but it is an important one.

Looking beyound the scope of this course being able to integrate ${\displaystyle {}{\sqrt {x^{2}-1}}}$ allows solving of some differential equations as in Beispiel ***** and is an important building block for integrating rational functions with square roots as in this Lemma.
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