Reimann's Lawmaajoor Helpp

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In summary, to calculate the integral of e^x from 0 to 1 using Riemann sum, we can use the equation limn->infin 1/nsigma{e^(i/n)}, which can be rewritten as \frac{1}{n}\frac{1- e^{(n+1)/n}}{1- e^{1/n}}. However, when testing with different values of n, the result does not match the expected value of 1.72. This suggests that the equation may be incorrect. Further investigation and a correct equation is needed to accurately calculate the integral.
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Reimann's Law..maajoor Helpp!

1. Use Riemann sum ( do NOT use fundamental theorum of Calculus) to calculate
(integral) b= 1 and a =0 e^x dx


Attempt:

(delta x)=b-a/n 1-0/n =1/n
xi = 1/n

(integral) b=1 a=0 sigmaf(xi)deltax
limn->infin sigma f(i/n)1/n
use eqn to get...limn->infin 1/nsigma{e^(i/n)}
limn->infin 1/n e^1/ni
limn->infi 1/ne^1/n n(n+1)/2
limn->infin 1/n e^1/2(n+1)

then sub for n (table n | Rn where n =40,100,500,1000,5000 and Rn should be close to 1.72(got that using FTC2)...so the eqn must be wrong :D

3.
 
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  • #2
angel_eyez said:
1. Use Riemann sum ( do NOT use fundamental theorum of Calculus) to calculate
(integral) b= 1 and a =0 e^x dx


Attempt:

(delta x)=b-a/n 1-0/n =1/n
xi = 1/n

(integral) b=1 a=0 sigmaf(xi)deltax
limn->infin sigma f(i/n)1/n
use eqn to get...limn->infin 1/nsigma{e^(i/n)}
Use what equation? This is the crucial part!
You can rewrite this sum as
[tex]\frac{1}{n} \sum_{i=0}^n (e^{1/n})^i[/tex]
That's a geometric series with "common ratio" e1/n: its sum is
[tex]\frac{1}{n}\frac{1- e^{(n+1)/n}}{1- e^{1/n}}[/tex]

limn->infin 1/n e^1/ni
limn->infi 1/ne^1/n n(n+1)/2
limn->infin 1/n e^1/2(n+1)

then sub for n (table n | Rn where n =40,100,500,1000,5000 and Rn should be close to 1.72(got that using FTC2)...so the eqn must be wrong :D

3.
 

1. What is Reimann's Lawmaajoor Helpp?

Reimann's Lawmaajoor Helpp is not a known scientific concept. It is possible that it is a made-up term or a misspelling of a different scientific concept.

2. Who is Reimann?

There is no known scientist or researcher by the name of "Reimann" in the scientific community. It is possible that this is a misspelling of a different name or a reference to a fictional character.

3. How does Reimann's Lawmaajoor Helpp relate to science?

Without any known information about Reimann's Lawmaajoor Helpp, it is difficult to determine how it may relate to science. It is possible that it is a made-up concept or a term that has not been widely recognized or studied in the scientific community.

4. Can you provide any research or studies on Reimann's Lawmaajoor Helpp?

As of now, there is no published research or studies on Reimann's Lawmaajoor Helpp. It is possible that it is a newly proposed concept or a misspelling of a different term.

5. Is Reimann's Lawmaajoor Helpp a valid scientific theory?

Since there is no known information or research on Reimann's Lawmaajoor Helpp, it cannot be considered a valid scientific theory. Without evidence and research, it is not possible to determine the validity of this concept.

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