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What
Integration is a huge topic at A-Level. You have covered the basics of definite and indefinite integration in your first year. Now you will learn to apply those principles more widely. You will learn a set of methods that will enable you to integrate equations that you could not previously do and you will learn to apply the principles to a variety of contexts.
It is important that you are confident with the Y1 material. This topics also has many dependancies on other A-Level topics including Partial Fractions, Trig, Parametric Equations and Logs/Exponentials
The second year covers:
Integration of standard functions using the reverse chain rule
Integrating by substitution
Integrating by parts
Integrating expressions of the form f'(x)/f(x)
Using Partial Fractions to integrate
Using Trig Identities to integrate
Integration of Parametric Equations
Practice
Reverse Chain Rule
Substitution
By Parts
Partial Fractions
Using Trig Functions
Parametric Equations
Stretch and Challenge (MADAS)
Structured exam type questions
Integration is a major part of A-Level Maths, particularly in the second year. For excellent practice questions related to a specific aspect, this is a great link:
Help
Reverse Chain Rule
These videos are taken from the TLMaths section on reversing the chain rule. There are more examples on the page if you want to dig into this some more.Substitution
These videos are taken from the TLMaths section on integration by substitution. There are more examples on the page if you want to dig into this some more.Integration by Parts
These videos are taken from the TLMaths section on integration by parts. There are more examples on the page if you want to dig into this some more.Using Partial Fractions
You need to be able to form partial fractions to be successful at this.Trig
Integrating sin(kx) and cos(kx)
Parametric Equations
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