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1. when it is an overestimate the trapezium rule what is the reason you give for it being an overestimate?
2. (Original post by chuckynoriss)
when it is an overestimate the trapezium rule what is the reason you give for it being an overestimate?
Estimated answer is greater than the actual area under the graph - Usually a sketch is the best way to show this
3. (Original post by chuckynoriss)
when it is an overestimate the trapezium rule what is the reason you give for it being an overestimate?
If you see the curve on the left (on my diagram below), there are bits under the trapezium which are not under the curve so if you estimate using the trapezium rule you will get an overestimate because the trapezium rule gives a larger answer than the actual area.

if you see the curve on the right, you will get an underestimate since the area under the trapezium is less than the area under the curve.

you will probably be asked how to improve the estimate using the rule - simply use more strips.

Attachment 214228
4. thanks

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