Month: August 2024

Równania wielomianowe zespolone sprowadzalne do równań kwadratowych

Complex Polynomial Equations Reducible to Quadratic Equations

Many fourth-degree polynomial equations can be transformed into quadratic equations using a well-known high school trick of substitution....

Granice z pierwiastkami trzeciego stopnia

Limits with Cube Roots (Is it Multiplication by Conjugate?)

When given a limit to calculate that involves some subtraction with a root (and which obviously couldn't be...

Granice ciągu z sumą kwadratów lub sumą sześcianów

Limits of a Sequence with the Sum of Squares or the Sum of Cubes

In the limits of sequences, sometimes the expression contains the sum of squares or cubes of consecutive natural...

Funkcje Cyklometryczne (arcus) - Nowy Wykład na Blogu

Cyclometric Functions (arcus) – New Lecture on the Blog

I've added a new article with a video to the "Lectures" section (on the right sidebar): Cyclometric Functions....

Podstawienia Eulera III rodzaju - Podsumowanie

Euler Substitutions of the Third Kind – Summary

In previous posts, I demonstrated how to use Euler substitutions in integrals with the square root of the...