Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 03 Further Pure Mathematics 1 QP & MS JUNE 2024

Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 03
Further Pure Mathematics 1 QP & MS JUNE 2024

, Number Number




Further Mathematics
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Advanced
PAPER 3A: Further Pure Mathematics 1




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P75686RA
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/

,1. (a) Given that

(
y = ln 3 + x2 )




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complete the table with the value of y corresponding to x = 3, giving your answer to
4 significant figures.


x 2 2.5 3 3.5 4 4.5 5

y 1.946 2.225 2.725 2.944 3.146 3.332

(1)
In part (b) you must show all stages of your working.

Solutions relying entirely on calculator technology are not acceptable.

(b) Use Simpson’s rule with all the values of y in the completed table to estimate, to 3
significant figures, the value of




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(
 5ln 3 + x2 dx )
2
(3)
(c) Using your answer to part (b) and making your method clear, estimate the value of


 ln (3 + x ) dx
5
2
2
(1)




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2
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, Question 1 continued
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(Total for Question 1 is 5 marks)

3
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