Edexcel C4 Core Maths - Integration by Parts

Overview

When you have to integrate two functions of 'x' being multiplied together then quite often you need integration by parts.

 

 

Revision Guide

I start off by showing you what type of functions require the use of integration by parts and then slowly take this further through the tutorials.

You may want to try the following questions first as part of your maths revision before looking at the worked solutions.

Next you are shown how to use the formula to integrate the following

Example 1

The next example is slightly harder and worth knowing how to do.

Example 2

Sometimes you will need to use limits. In the next tutorial you are shown how to set out such solutions. Again you might like to try it first.

Example 3

 

You will need to be able to handle integrals with natural logs. Here are two examples that you may like to try. If not just look at the worked solutions.

Examples 4 and 5

 

 

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