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) →
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) →
In this post you’ll learn how to integrate the trigonometric function cot(x). But first: What is cot(x)? Maybe you already know it, but this is going to be really useful.… Read more Integral of cot(x) →
Maybe you know that the answer is ln(sec(x)), but do you know why? Here you’ll find the procedure with explanation! First of all, let’s write the integral: We know that… Read more Integral of tan(x) →
The integral of sin(x) is -cos(x), but why? Here you’ll find the demonstration using Euler’s identity!
The integral of cos(x) is sin(x), but why? Here you’ll find the demonstration using Euler’s identity!
Here you will see how to solve these integrals https://addjustabitofpi.com/integration-by-parts-exercises/ and check if you got them right! Wait… we have the integral of sin(x)cos(x) again! So this means that and Easy, right? Let’s solve this integral by performing another integration by parts. so we have We can do the same thing we did for the integral of sin(x)cos(x). Therefore, We now know that this is equal to which is equal to The answer is Same thing here; And that’s it! Stay tuned for more integrals. You might find these links… Read more Integration by parts | Solution with procedure →
Here are the solutions with procedure of these integrals: https://addjustabitofpi.com/u-substitution-exercises/. If you don’t remember the rules and properties of integrals, check this out: https://addjustabitofpi.com/rules-and-properties-of-integrals/.