TMUA: Trapezium rule

[@jeddslade3540]

this video makes this topic so easy, much appreciated 👍🏼

[@frogvaccines5721]

Hi would you be able to make a vid on the formulas you’ll definitely need for tmua that would be really useful thank you !!!!!

[@rtwodrew2]

I'll have a think

[@yahyakhan6433]

For that first question, the standard trapezium rule works and you dont have to think about it being negative when x=1/2. Is this just a coincidence give that this is a log graph or does the trapezium rule formula always give the correct estimate no matter if the graph goes +ve/-ve?

[@rtwodrew2]

I don't know what the 'standard trapezium rule' is. I assume it just has to do with using a negative length if the graph is below the x axis? If so, then yes that would always work

[@yahyakhan6433]

@@rtwodrew2 its the one thats like h/2(y0+2y1+...2yn-1+yn). I guess all that equation is doing anyway is summing up multiple trapeziums and traingles in the first place. I just plugged the corresponding values without thinking about subtracting that little triangle and it worked. Thanks for the info

[@rtwodrew2]

Yeah so since it's using y values and not lengths any negative area will be automatically accounted for as you'll be using a negative side length to compute it. Never seen that formula before, although I see now that it is in the pearson textbook, I've always just completely ignored it it seems

[@karanc3893]

its in formula book too lmao!@@rtwodrew2

[@_NSY]

Hi, for the 2019 P1 Q8, why did u choose a quadratic graph? Could you maybe explain how to choose a graph, and your thought process for it. Thank you.

[@rtwodrew2]

Simply because it was talking about an underestimate, which we had just done in the previous question, using the same graph

[@ItsMoses]

hi, are we allowed rulers in tmua exams?

[@rtwodrew2]

I would have thought so