Calculus - Integration masterclass
What you'll learn
- How to integrate any kind of function
- Special antiderivatives
- Integration techniques
- Tricks and know-hows
- Indefinite integrals
- Definite integrals
- How to integrate rational functions
- How to integrate based on the chain rule
- How to use substitution in integration
- How to integrate by parts
- How to calculate improper integrals
- Basic geometric and mechanical applications
Requirements
- A basic knowledge of differentiation
- You can go ahead without differentiation skills as I provide some guidence (but please note that the understanding is going to be harder)
- A desire to get better in mathematics
- A knowledge of the limits of functions is advantageous but not necessary for most of the course
Description
Welcome!
By completing this course, you are going to be able to determine the integral of any kind of single variable function (if the integral exists). I'm going to show you the necessary theoretical background in a nutshell. Then I show you lots of practical examples! I believe that you should always learn through solving problems! That's why I made this course practical and I also give you a chance to practice on your own!
The course starts from the definition of the indefinite and definite integrals and goes through the integration techniques one by one. In every section, the theory is summarized briefly and then I show more and more complicated numerical examples. These sample problems are going to help you understand what you have to do! Finally, there is always a checkpoint at the end of a section to test your knowledge!
I believe in learning through examples so the course is highly practical. If you want to practice even more, you can stop the videos and make an effort of solving the numerical examples by yourself! Or at least you can solve the problems I give you at the checkpoints!
You don't need much of a prior knowledge to take this course. I suggest learning differentiation before integration. Integration is basically about searching for the antiderivative of functions. If you do not know how to differentiate, it is better to improve your skills on that topic. I'm going to give you some guidence in differentiation so you can start the course anyways but it is going to be harder. I'm going to clear the necessary details about integration during the lectures, so do not worry about the challenge!
This course is primarily designed for university/college students who are learning single-variable Calculus and have to deal with integrals. If you are struggling with this topic, let me help you! Here you are going to get every help that you possibly need! If you have already completed this topic but you feel like you need to practice the basics, you are also welcome in this course!
I hope I can help you with this course just like I've already helped more than 6000 students with my other courses! I can't wait to see you inside! Have fun and learn a lot!
Note: this course covers the topic of single variable integrals. This is introductory level calculus. If you hear about integrals for the first time, this is your course! If you need multi-variable integration or integrals of vector fields, you should look for an other course. Check out the curriculum for details!
Who this course is for:
- Anyone who is about to take a test/exam in the topic of Integration
- Anyone who is currently learning Calculus
- Anyone who is interested in the integration methods
Course content
- Preview01:58
Instructor
![Dániel Csíkos](data:image/svg+xml,%3Csvg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 64 64"%3E%3C/svg%3E){kind=avatar}
- 4.6 Instructor Rating
- 603 Reviews
- 6,569 Students
- 32 Courses
* GÖRGESS LE A MAGYAR VERZIÓÉRT *
Welcome to my page :)
I'm a mechanical engineer and an online entrepreneur. I'm already teaching more than 6000 students worldwide and I look forward to see you as my student, too.
I've got my MSc level degree in mechanical engineering at Budapest University of Technology and Economics and I'm enthusiastic about sharing my knowledge with you.
I've been teaching and helping mechanical engineering students as a private tutor in various subjects for quite a while. Therefore I not only know how to understand a topic as a student but also how to make it understandable for others. I passed most of my subjects with an excellent mark and I hope I can help you to reach the desired mark or objective for yourself by ease, too. I offer guidance to understanding either if you are a student or if you want to refresh and widen your knowledge as an engineer in practice.
If you trust me and follow my courses, I can take you from beginner level to be an expert of mechanical engineering related topics. I came far on this road and I wish you great success, too.
I'm looking forward to welcome you in any of my courses! It would be so much fun and honor to me to help you worldwide :)
Daniel
Üdvözöllek :)
Gépészmérnökként a fő célom az, hogy másokat is segíthessek a szakmai előmenetelükben, akár gépészekről, akár más szakos hallgatókról van szó.
Már évek óta ennek a küldetésnek szentelem az időmet, így tapasztalatból tudom, hogy hogyan értessek meg bármilyen, akár elsőre nehéznek is tűnő, tananyagot. Ezt tapasztald meg nyugodtan: minden kurzusomhoz van elérhető ingyenes bemutató rész, bátran nézd végig ezeket a videókat és ha tetszenek, akkor csatlakozz hozzám és a többi tanítványomhoz.
Nagyon remélem, hogy a sikeres diákjaim között köszönthetlek majd és együtt készülhetünk fel!
Dani