What is the trapezium rule?

• The?trapezium rule?is a numerical method of integration used to find the?approximate area?under a curve
• It can be used when?analytical methods?of?integration?won’t work
• It finds an?approximation?of the area by finding the?sum of the areas?of trapeziums beneath the curve
• The?formula?for an?estimate?of the area when splitting it into?n?strips (trapezium) is

• • If you have?n?strips?then you need?n?+ 1?y-values

Underestimate or overestimate?

• Depending on the shape of the curve, the trapezium rule could be an?underestimate?or?overestimate
• The?more trapezium strips?used the?more accurate?the estimate
• Calculating the?percentage error?can tell you how?accurate?your estimate is
• Using?rectangular strips?can find the?upper and lower bounds?of the interval for the trapezium rule