Integration Mixed With Differentiation

In Integration, unlike Differentiation, there isn't any product rule nor quotient rule. Having said this, examiners always like to present question in that form of either product or quotient. Students who aren't able to see through their plot to confuse your mind will fall straight into their trap.

The question most students will ask next will be what to do when the Integration is presented in the manner as if we can use product or quotient rule aka the given question is in the form of a fraction.

These are the few ways you can work around it

  • Simplifying either by breaking up the numerator
  • Simplification by applying Indices Law (very useful when you are working with exponential or bases-powers)
  • Apply partial fraction concept

Look at this question:
\int (2x+1)\sqrt{8x+4} dx

It is expressed as two product. How do we integrate?

Discuss your approach in the comment box below.

I will reveal the step by step approach by end of this week. Be sure to subscribe to so that you will be notified of latest updates


Related Post

Simultaneous Eqns, Vectors, Gradient of Normal, Binomial Additional Mathematics (A-Math) topics - Simultaneous Eqns, Vectors, Gradient of Normal, Binomial
A-Maths: Differentiation Basics 101 In this video, I discuss about the basics of how to differentiate constant, x term and x^2 term. Length of video: 4 minutes. Click here for dir...
Differentiation Basic Techniques The big thing for Sec 4 A-Math ( Oh yar, since this blog has quite a number of visitors from other countries, I think it is important for me to me...
A-Math: Find Coordinates and Nature of Stationery Point (Plus: Tips to note in Differentiation) The following question is similar to June 2008 GCE O Level A-Math Paper question which is testing on the following concepts Differentiation involvi...
A-Maths: Differentiation Techniques 101 In this video, I use three examples to show the usage of the three differentiation techniques. Chain rule Product rule Quotient rule You sh...

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-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! :)

2 Responses to Integration Mixed With Differentiation

Leave a reply