Year: 2024

Funkcje Hiperboliczne na Pomoc - mój nowy Wykład na blogu

Hyperbolic Functions to the Rescue – My New Lecture on the Blog

I wrote a new Lecture entirely dedicated to hyperbolic functions and their inverses. In it, I explain what...

Zakazane wzory na całki nieoznaczone - wyprowadzenie wzorów

Forbidden Formulas for Indefinite Integrals – Derivation of Formulas

Professors at universities have their own requirements. Many of them, for the good of their students, of course,...

Limit of the Function: x to the x to the x … What to Do? (Example with Morals)

As a curiosity, I'll calculate the limit of the function: (x^x^x - cosx). More interesting than the calculations...

Rzut elipsy wykrojonej z elipsoidy na płaszczyznę XY

The Volume of an Ellipsoid (But Not a Rotational One, Just a Wild Type) Calculated by a Definite Integral

Let's say we need to calculate the volume of an ellipsoid: {x^2}/4+{y^2}/5+{z^2}/9=1. This is an ellipsoid that intersects...

Co można zrobić, gdy potęgowanie po prostu nie idzie (liczby zespolone)

What to Do When Exponentiation Just Doesn’t Work (Complex Numbers)

There are days when nothing seems to work. And there are examples with complex numbers where nothing goes...