Integral of sec²(x)|Two ways
Hi everyone! I know it’s been a really long time since my last post, but lessons during COVID-19 really had me busy and stressed out… but here I am again!… Read more Integral of sec²(x)|Two ways →
Integral of ln²(x)
In this post I will show you how to find the anti-derivative of the function f(x)=ln²(x). We are going to use integration by parts: Now we can write u times… Read more Integral of ln²(x) →
Integral with summations inside
I am a big fan of blackpenredpen. This guy posts videos on Youtube about calculus and more. Some days ago I received a notification and this is what the thumbnail… Read more Integral with summations inside →
Integral of e^(ax)*sin(x)
In this post we are going to integrate this seemingly hard integral, which in my opinion is actually very interesting! When we have a product of a trigonometric and a… Read more Integral of e^(ax)*sin(x) →
Integral of sec²(x)/exp(tan(x))
Although it may look a bit intimidating at first, I can guarantee you this is actually a very easy integral! But what integration technique do you think will be useful?… Read more Integral of sec²(x)/exp(tan(x)) →
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 →
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) →
Add just a bit of pi 