Integration by Parts Formula Derivation & Examples

When students start learning Integration by Parts, they might not be able to remember the formula well. In fact, you do not need to rote memorise if you know that Integration by Parts can be derived in seconds from Differentiation Product Rule and I highly recommend you to do so via Product Rule until it comes to you naturally.

In this post, I show you the step by step to derive your Integration by Parts formula and examples to apply it.

 

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'A' Level H2 Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

Integration Application: Volume

In this question, some students might face two challenges:

  1. How to find the volume of the shaded region
  2. How to apply the correct integration techniques (Click here for summary & examples) when we need to integrate trigonometric functions in product form and raised to certain powers like in this question

I will classify this question as a basic level and I hope you have learnt something new if you are not able to complete this question correctly.

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'A' Level H2 Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

Integration Involving Modulus Function

In this question, we look at the application of integration techniques, particularly on how to integrate a modulus function. The strategy I use in this question is known as Splitting. For you to be able to split correctly, I would suggest sketching the modulus graph so that you know the correct equation to represent each portion of the modulus graph.

modulus-integration

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'A' Level H2 Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)