Year: 2024

Granica ciągu udająca granicę z liczbą e

The Limit of a Sequence Posing as a Limit Involving the Number e

Learn how to solve problems with sequence limits correctly when the number e is involved. The article discusses...

Delta równa zero w całkach nieoznaczonych wymiernych

Delta equals zero in rational indefinite integrals

In rational indefinite integrals, there’s often a need to factorize the quadratic trinomial ax^2 + bx + c....

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...