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Firstly, do not worry! Even in my second year of university I'm still not 100% confident about using the subjunctive. A lot of it is simply instinctive and only becomes obvious after y...

For the introduction, It really needs to be a plan of the essay you're going to write and set out a clear plan for the examiner of the paragraphs you're going to write and your point of view throughout...

cos(2x) = 2cos²(x)-1 by the double angle formula.

Rearrange to give cos²(x) = (cos(2x)+1)/2

Integrating this gives sin(2x)/4 + 1/4x + c 

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The task of writing an essay on such well-trodden territory as Shakespeare's Hamlet is certainly a daunting one, and achieving a degree of originality is key to getting top marks.

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