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Integrate the natural logarithm of x (ln x) with respect to x

In order to integrate ln x you have to use integration by parts, even though it appears there is only one term to be integrated. We get around this by instead writing it as (ln x)(1), where we treat the 1 as...
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Answered by Archie D. • Maths tutor
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How many thirds are there in 9?

multiple choice question.answer: 27taken from CGP Sample 11+ Assessment Test
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Answered by Mehdi A. • Maths tutor
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Solve the following equations showing your method clearly. 3(2x + 9) − 7x = 4(x + 3)

3(2x + 9) − 7x = 4(x + 3)so 6x + 27 -7x = 4x + 12so 27 - 12 = 5xso 15 = 5xso x=5taken from The Haberdashers' Aske's Boys’ SchoolElstree, Herts 13+ Entrance Examination 2016
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Answered by Mehdi A. • Maths tutor
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Write down 56 as the product of its prime factors.

56 / 2 = 2828 / 2 = 1414 / 2 = 77 / 7 = 1so, 56 = 2x2x2x7 = 2 3 x7Example of a non calculator GCSE paper question, higher tier
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Answered by Mehdi A. • Maths tutor
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How do you cross-examine poems?

First, read who each poem is written by and when; are they all the same gender poets, is it from the same period of history? This will be your first clue as to why their themes may be similar or different.Th...
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