
If you're completely new to Integration please take a moment to read the short document attached to this lecture to get some background and context, and as a useful starting point for what you'll learn in this free course.
Students will learn the notation used for Integration.
Students will state The Power Rule for Integration and practice using it on relevant functions.
Students will state the integral of the Trigonometric functions, Sine & Cosine.
Students will state when Integration by Parts should be used and will practice the technique.
Students will confidently use The Reverse Chain Rule to integrate composite functions.
Students will describe the differences between indefinite and definite integrals.
Students will state what a definite integral is and will practice evaluating definite integrals.
Students will use definite integrals to find the area between a curve and the co-ordinate axes.
Key Integration formulas for you to download and take with you.
These notes are a quick reference for the topics presented in this course, offering additional examples and extra information. You will also find useful information about further Integration techniques and topics which we didn't have space to fit into the space permitted in this free course.
This FREE short course supports your first steps into Integral Calculus through core integration techniques. Calculus is the Mathematics of change and used to model and understand many phenomena in the real world – from science and engineering to finance, economics and medicine – it’s difficult to find a field which doesn’t employ Calculus in some way. Although I don’t have space here to teach you everything about Calculus (it’s a huge field!), I hope that by mastering these fundamental skills I’ll make it a little easier for you and perhaps inspire you to go further into this fascinating and important area of Mathematics. It's usually the case that students will learn differentiation before integration, so if you're not already familiar with at least some differentiation, you may want to check out my FREE short course on that topic first. Otherwise, just be aware that differentiation will be referred to often in this course as many of the integration rules are based on the reverse process of differentiation.
This Course is For You
I created this FREE course to help you start learning integration through clear instructional videos and relevant practice questions.
There are many reasons why you might want to take this course:
As an introduction to Integration
As prep for taking a Calculus 2 course
To review key Integration techniques
To access relevant practice questions
To have quick access to Integration notes
Whatever your reason this course will help you build key integration skills quickly and get you ready for the next step on your Calculus journey.
What You'll Take Away From This Course
Integration is a huge topic with many applications but it can be broken down into a small number of core techniques which, once mastered, can be applied to answer many question types and address many real-world problems. Each instructional video teaches one core technique and mixes a small of amount of theory with example problems. You will then practice what you've learnt in the end of section review exercise. I've also included step-by-step solutions so you can check your work as you go. Take this course and you will learn:
Key integration techniques - the Power Rule and Integration by Parts
The Chain Rule which allows you to integrate a wide range of functions
A classic Calculus problem - finding the area under a curve
An overview of how Integration is applied to solve other problem types
Complete this course and you'll be making a great start on your Calculus journey!