Author: Krystian Karczyński

Co podniesione do kwadratu daje 17

What squared equals 17? Namely, indefinite integrals and the formula with arctan

We've gotten used to applying the formula with arctan tgx in "clean" integral situations. What if there are...

Objętość bryły obrotowej – zadanie z haczykiem

Volume of a Solid of Revolution – Problem with a Catch

Learn how to easily calculate the volume of a solid of revolution using a simple formula from elementary...

Całki oznaczone liczone względem zmiennej y

Definite Integrals Calculated with Respect to the Variable y

Definite integrals can be calculated with respect to variable x or y, and sometimes should be, if it's...

Całki oznaczone przez podstawienie – zmiana granic całkowania

Definite Integrals by Substitution – Changing the Limits of Integration

Discover how to effectively change integration limits by substitution in definite integral tasks. This article explains in detail...

Metody Gaussa vs Cramera vs Kroneckera Capellego – macierze

Gaussian vs Cramer’s vs Kronecker-Capelli Methods – Matrices in Solving Systems of Linear Equations

Discover how Gauss, Cramer, and Kronecker-Capelli methods help in efficiently solving systems of linear equations. Learn why Gauss's...