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The general method is: 1)write down what needs to be shown (the claim) 2)check it holds for the lowest value of n required (normally n=1 but check question) 3)write down sentence: 'Suppose when n=m the claim...

We integrate by parts: u=x u'=1; v'=sin(x) v=-cos(x) integral(x sin(x)dx) = -x cos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.

The general method for (a+b)^n is: 1)write out pascals triangle (see whiteboard) and stop at the nth row. Write this on a line. 2)write down the powers of a in ascending order (and simplify) 3)write down the...

A-Level Mathematics is about a wide range of topics, among which Integrating is key! While differentiation is a technique, whereby a set of rules can be used to approach problems, integration is an art, for ...

Utilitarianism is a legal doctrine formulated by Jeremy Bentham in the 18th century, it is a consequentialist school of thought which locates the morality in the consequences of an act. Exemplified by the Li...