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Integrate (sin(x))^6 - Further mathematics (De Moivre's theorem)

Recall that sin(x) = (e ix -e -ix )/(2i) and we can rewrite the integrand as {(e ix -e -ix )/(2i)} 6 Factor out {1/(2i)} 6 , which is -1/64, of the integrand (just to make algebra easier)Use binomial expansi...
AP
Answered by Akaash P. • Maths tutor
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Assess the strengths and weaknesses of using questionnaires to collect data. (20 marks, AS Level)

Questionnaires are commonly used by positivist researchers hoping to gain quantitative data. This can include the government or academic researchers who want to find clear trends about a certain population. ...
RJ
Answered by Roisin J. • Sociology tutor
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‘The play Hamlet shows a disturbing fascination with death.’ Using your knowledge of the play as a whole, show how far you agree with this view of Hamlet.

Taking this sample A-level question on Hamlet , the most important thing to do is to establish a structure for the answer. The core of all good literary criticism is a coherent argument that moves from one p...
CY
Answered by Cameron Y. • English tutor
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A chemist synthesised two solutions A and B, they know one solution is an aldehyde and the other a ketone. Suggest how the chemist could identify which is which and describe any observations they would make

Tollens reagent could be used to identify the the solutions A and B, as the aldehyde solution will oxidise to a carboxylic acid and a ‘silver mirror’ will be observed. Ketones cannot be oxidised further and ...
HJ
Answered by Hugo J. • Chemistry tutor
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What should I do if an essay is on something that I can't think up enough points for?

As soon as you can, write down the points that you can think of so you don't forget them later on and then take a minute to think of all the possible scenes or quotes you remember that could relate to the qu...
EH
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