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A-Level H2 Maths

A-Level H2 Maths

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Summary & Examples

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.

 

Filed Under: 9740 Syllabus, 9758 Syllabus, Integration Techniques, Summary & Examples Tagged With: LIATE, Product Rule

Cover Up Rule for Partial Fractions

In MF15 and MF26, we are given the partial fractions decomposition for

  • Non-repeated linear factors
  • Repeated linear factors
  • Non-repeated quadratic factor

It is useful to work with partial fractions especially when we do integration.

I have given 3 examples on how and when we use cover up rule (CUR). It acts like a shortcut to comparing coefficients. However, please note when CUR works and when we have to stick to our old good method of comparing coefficients.

 

Cover up Rule 1

Cover up Rule 2

Cover up Rule 3

 

Filed Under: 9740 Syllabus, 9758 Syllabus, Integration Techniques, O-Level Additional Maths, Partial Fractions, Summary & Examples Tagged With: Cover up rule

Integration Techniques Summary & Examples

(Suitable for 2016 JC2 H2 Maths – Subject Code: 9740)

Calculus is a major topic for both O-Level and A-Level Mathematics syllabus. It involves techniques and applications. Students must have good foundation in techniques to have an easier time for applications questions.

In this post, I would like to share with you on the Integration Techniques Summary & Examples. It provides an overview of the Integration Techniques you need to know. Integration by parts and by a given substitution will be written the the next posts.

Let me know if you have found the Summary & Examples format useful in the comments section. Your response is important to me as it helps me to decide if I continue sharing in this format or other methods which are more beneficial to you.

I look forward to receive your comments.

PS: 2016 JC2 H2 Maths Classes will start next week. If you want to learn H2 Maths in a simple and easy to understand manner, join us! It doesn’t matter how you have fared for JC1. It doesn’t matter which JC you are from. What matters is that you think you deserve to do much better in H2 Maths and you are willing to do whatever it takes to achieve your goal this year! Call us at 9828 7357.

Integration Techniques Summary & Examples

Integration Techniques Summary & Examples 2

 

 

Filed Under: 9740 Syllabus, Integration Techniques, Summary & Examples

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