anonymous
  • anonymous
Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integral from 0 to 4 of x squared, dx.
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
https://gyazo.com/fb167f84247cce45c0a7f27ba176a684
anonymous
  • anonymous
@terenzreignz last question of the course
terenzreignz
  • terenzreignz
Ugh. And it had to be an extremely tedious one. All right, get the upper and lower sum estimates.

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terenzreignz
  • terenzreignz
Good thing the width of each partition is 1. We can do this relatively quickly. Okay, first up, lower sum. The intervals are [0,1], [1,2], [2,3], and [3,4] Lower sum gets the lower ends of each interval. 0,1,2, and 3. Evaluate the function at all these points.
anonymous
  • anonymous
How would that be done?
anonymous
  • anonymous
Ok
anonymous
  • anonymous
14?
terenzreignz
  • terenzreignz
Good ^^ Now upper sum. Get the higher end of the intervals. 1,2,3, and 4 And evaluate at those points.
anonymous
  • anonymous
30
anonymous
  • anonymous
Now trapezoidal?
terenzreignz
  • terenzreignz
Okay. Now evaluate the integral using the trapezoidal rule :)
anonymous
  • anonymous
That's not right, I got 8.
anonymous
  • anonymous
I see what I did.
anonymous
  • anonymous
Got 22
anonymous
  • anonymous
Which is right :)
terenzreignz
  • terenzreignz
Good ^^ Indeed, that is the average of 14 and 30
anonymous
  • anonymous
14+30=44
anonymous
  • anonymous
/2=22
terenzreignz
  • terenzreignz
Well done ^^
anonymous
  • anonymous
8/8 m8 you've been gr8 hope u know i appreci8 that u were nvr l8 to our d8 :)
terenzreignz
  • terenzreignz
what is with your obsession with 8?
anonymous
  • anonymous
Lol
anonymous
  • anonymous
the ryhmes what else?
anonymous
  • anonymous
It's just something done online as a joke (basically mocking brits)
terenzreignz
  • terenzreignz
Okay then :) I'll be seeing you, maybe. Signing off ^^

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