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Using substitution, integrate x(2 + x))^1/2 where u^2 = 2 + x

u 2 = 2 + xx = u 2 - 2dx/du = 2u ʃ x(2 + x)) 1/2 dx= ʃ xu dx= ʃ u(u 2 - 2) dx= ʃ 2u 2 (u 2 - 2) du= ʃ 2u 4 - 4u 2 du= [2/5u 5 - 4/3u 3 + C]= 2/5 (2 + x) 5/2 - 4/3 (2 + x) 3/2 + C
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Answered by Sonali P. • Maths tutor
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How do I remember the vast amount of content required for the exam?

History naturally is a difficult subject even at GCSE in terms of remembering a huge amount of names and dates. However, I would reassure the student. I would guide them through revision techniques that ofte...
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Answered by Kate P. • History tutor
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Please explain (said question) surrounding a proof of 2 equal angles

I would firstly ask them how much they knew about trigonometry, and then guide them through the SoHCaHToA theory. I would use diagrams for this. I would then ask them to spot any ways they could work out any...
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Answered by Kate P. • Maths tutor
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How do I make my answers and essays more A-level standard?

The main difference between GCSE and A-level is the structuring of your essays and the sophistication in which you approach your answers. Instead of giving, for example a for and against answer to a yes or n...
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Answered by Kate P. • History tutor
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Explain the link between multiculturalism and liberalism.

Firstly, one major link between the two would be their shared support for toleration, a central theme to both ideologies. Tolerance can loosely be interpreted as the acceptance of different, and often contra...
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