Past Papers’ Solutions  Cambridge International Examinations (CIE)  AS & A level  Mathematics 9709  Pure Mathematics 2 (P29709/02)  Year 2013  OctNov  (P29709/23)  Q#6
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Question
A. Find
i.
ii.
B. Use the trapezium rule with 2 intervals to estimate the value of
giving your answer correct to 2 decimal places.
Solution
A.
i.
We are required to find;
Rule for integration of is:
Rule for integration of is:
Rule for integration of , or ;
ii.
We are required to find;
We know that;
From this we can write;
Therefore;
Rule for integration of is:
Rule for integration of is:
Rule for integration of is:
B.
We are required to apply Trapezium Rule to evaluate;
The trapezium rule with intervals states that;
We are given that there are two intervals, .
We are also given that and .
Hence;




1 



2 



3 


Therefore;
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