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.