Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/23) | Q#6

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  Question

     i.       Use the trapezium rule with 2 intervals to estimate the value of

Giving your answer correct to 2 decimal places.

   ii.       Find

Solution

     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

Therefore;

   ii.
 

We are required to find;

We have the algebraic formula;

Rule for integration of  is:

Rule for integration of  is:

Rule for integration of , or ;

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