Krystian Karczyński- 5 August 2024
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...
- Krystian Karczyński
- 4 August 2024
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....
- Krystian Karczyński
- 2 August 2024
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...
- Krystian Karczyński
- 30 July 2024
Euler Substitution of the Second Kind
In the previous post: Euler Substitution of the First Kind, we dealt with integrals involving the root of...
- Krystian Karczyński
- 24 July 2024
Where did this patent in complex roots come from? Where did the third equation come from when calculating the square root of a complex number?
When calculating square roots in Cartesian (or: algebraic) form in my Complex Numbers Course, I showed a method...