Hyperbolic Functions to the Rescue – My New Lecture on the Blog
Krystian Karczyński
Founder and General Manager of eTrapez.
Graduate of Mathematics at Poznan University of Technology. Mathematics tutor with many years of experience. Creator of the first eTrapez Courses, which have gained immense popularity among students nationwide.
He lives in Szczecin, Poland. He enjoys walks in the woods, beaches and kayaking.
In response to the request:
Hi !!!
I have a question about how to do a certain integral where the numerator is x squared and the denominator is the square root of x squared – x + 1. I tried doing this integral as in the course presentations, but my professor wants me to present it using hyperbolic sine and hyperbolic cosine. Can I get some tips on how to solve this integral in that way? Thanks in advance.
And regarding an issue that came up in my last post during the derivation of the formula:
16.\quad \int{\frac{dx}{\sqrt{{{x}^{2}}+q}}}=\ln \left| x+\sqrt{{{x}^{2}}+q} \right|+CI wrote a new Lecture entirely dedicated to hyperbolic functions and their inverses:
Hyperbolic Functions to the Rescue – Lecture
In it, I show what hyperbolic functions are, when – for example – they come in handy, and why they sometimes pop up in Wolfram results, generally causing panic among students.
However, the hyperbolic sine isn’t so scary – I invite you to the Lecture:
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