Integral of xln(x)
In this post I am going to explain step-by-step how to integrate the function xln(x). We can solve it by using integration by parts (click here if you want to… Read more Integral of xln(x) →
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 1/sqrt(e^x-1) from ln(2) to infinity
Hi guys! Hope you are all doing well in these days of quarantine which is hopefully ending soon. I like to spend my time integrating and watching videos about calculus… Read more Integral of 1/sqrt(e^x-1) from ln(2) to infinity →
Definite double integral of sin(y²)
I’ll be honest: I had no idea how to do this at first, but then I thought that it was probably easier than I could imagine. What most likely blocks… Read more Definite double integral of sin(y²) →
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 →
Hard looking yet beautiful integral
Never judge a book by its cover: this is the case. This integral requires a bit of work and knowledge, as you need to know about the Gaussian integral (I… Read more Hard looking yet beautiful integral →
Gaussian integral using Feynman’s technique
In my last post we evaluated the following definite integral This is the formula we got: and this is the integral we want to evaluate: which is equivalent to because… Read more Gaussian integral using Feynman’s technique →
Add just a bit of pi 