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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 ...

The basic structure of a personal statement is roughly 5 paragraphs with 80% of the statement focussed on academics and 20% on extra-curricular, with this 20% normally covered in the final paragraph. For the...

The myelin sheath is a fatty substance which surrounds and insulates neuron axons (i.e. it does not allow potassium or sodium ions to pass through it), which allows fast propagation of action potentials alon...