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Week 8
W8.1 Integration by substitution
This is effectively the reverse of the Chain Rule for differentiation.


e.g. try integrating .
The problem is that you can't divide the bottom line into the top line.
But, if we could replace the bottom line by a single character,
it would…

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W8.3 Integration by parts
This is a re-arrangement of the Product Rule for differentiation.

Work through the textbook's introduction of Exercise 9a .
Remember: to make the integration easier,
you should put u = something which gets easier when you differentiate
[often a power of x]

and = something…

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