   ## Half integral of x

In my previous post I showed you how to take the half derivative of x. Here, I am going to explain how to find the half integral of x. We… Read more Half integral of x   ## Half derivative of x

The derivative of x is easy, it’s simply 1; the second derivative of x is the derivative of 1, which is 0; but what on earth is the half derivative… Read more Half derivative of x ## Einstein’s equation

E=mc². Everybody knows this formula, but not everyone knows what it is, what it means. How can three letters and an exponent mean so much? Let’s start by defining those… Read more Einstein’s equation ## Integral of sec(x)

This integral needs a quite a bit of work but we will eventually be able to evaluate it! Keep in mind that there is a much faster method, but it’s… Read more Integral of sec(x) ## Cauchy principal value | Definite integral of 1/x

We know that the integral of 1/x is the natural logarithm ln(x). Very straightforward, yes, but it’s not as simple when it comes to evaluating the definite integral. As you… Read more Cauchy principal value | Definite integral of 1/x ## Integral of arcsin(x)

In this post I am going to show you how to integrate the inverse function of sin(x), arcsin(x), step-by-step. But first, let’s clear a few things. What is arcsin(x)? Arcsine… Read more Integral of arcsin(x) ## Integral of arccos(x)

In this post I am going to show you how to integrate the inverse function of cos(x), acos(x), step-by-step. But first, let’s clear a few things. What is arccos(x)? Arccosine… Read more Integral of arccos(x) ## Integral of ln(x)

In this post we will find the antiderivative of ln(x) step-by-step. This is one of those integrals you solve once and never forget. Let’s start! What is ln(x)? ln is… Read more Integral of ln(x)

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