anonymous
  • anonymous
Are these all the same? #1. A=lim as n approaches infinity of sigma ("n" on top of sigma, i=1 on bottom of sigma) f(x subscript i)times delta x #2. A=same as the above until sigma, times f(x subscript i-1) times delta x #3. A=same as above till' sigma, f(xi*) times delta x....this is for integrals, areas under curves
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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dumbcow
  • dumbcow
No i believe #1 gives upper bounds area and #2 gives lower bounded area, not sure about #3 can you rewrite that part
anonymous
  • anonymous
A=lim as n approaches infinity, sigma (on top of sigma it says "n", bottom of sigma it says "i=1") and then f[xi (note, theres a * star symbol on top of i)]delta x
anonymous
  • anonymous
\[A=\lim_{n \rightarrow \infty}\sum_{i=1}^{n} f(x*i)Deltax\] Note: where it says f(x*i), I meant the * is right on top of the i, which is a subscript of x)

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anonymous
  • anonymous
All I know is that * has something to do with sample points, but I dont get that part
dumbcow
  • dumbcow
ok i think it has to do with taking the midpoint between xi and xi-1, ->f(xi-1 + deltax/2) this will give an area between the upper and lower bounds yielding a more accurate approximation of the actual area under the curve
anonymous
  • anonymous
Thank you!

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