My Educational Articles

There’s a technique I found about recently that I wanted to share with my readers. There is a simple way to create an impression of (...)

Integrating the third power of $\sin(x)$ (or any odd power, for that matter), is an easy task (unlike $∫ \sin^2(x)\,dx$, which requires (...)

The integral can be calculated using integration by parts (using the formula $∫u’(x)v(x)\,dx = u(x)v(x) - ∫ u(x)v’(x)\,dx$). Let’s (...)

The easiest way to integrate $\tan(x)$ is to recall that $\tan(x) = \frac{\sin(x)}{\cos(x)}$. Do you see the necessary substitution? By choosing $y = \cos(x)$, that is, $dy = -\sin(x)\,dx$ (...)

Calculating the derivative of $x^x$ is a very simple task, but it may be hard to find the general idea on your own, so here it is. We will (...)

How to calculate the indefinite integral of $x^n$? It’s quite simple. We are looking for a function $f(x)$ such that $f’(x) = x^n$. As you (...)

In this article, I will give a detailed explanation of why the Gaussian integral is equal to $√\pi$, that is, why the following equality (...)

In the grammar of Esperanto, words like “where”, “there”, “somewhere”, “when”, “then”, “sometime”, etc., are called correlatives. (...)

The English name “June” comes from Latin iunius, the month of the Roman goddess Iuno (usually spelled “Juno” in English), who was the (...)

Most national central banks in Europe hold a large amount of reserves in the form of foreign banknotes and deposits, treasury bills, gold, (...)