Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/22) | Q#3

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Question

A.         Find

B.
 


i.       
Use the trapezium rule with three intervals to find an approximation to

giving your answer correct to 3 significant figures.

Solution

A.
 

We are required to find;

Rule for integration of  is:

 

B.
 


i.
 

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

4

Therefore;

The answer correct to 03 significant figures.

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