2 - chapter 15 - numeric integration

Question 1

finding upper and lower bounds of area under a graph

Answer 1

use rectangles that lie above/ below the curve
actual area lies between the bounds

Question 2

increasing the number of rectangles used to extimate

Answer 2

as the number of rectangles increases the bounds approach a limit which is the actual value of the integral

Question 3

trapezium rule

Answer 3

more accurate as each trapezium has an area between the upper and lower bound of rectangles
in formula booklet
n = number of intervals
b and a = bounds of integral

Question 4

trap rule - overestimate or under

Answer 4

have to look at graph