Question

What is the relationship between Riemann Sum and definite integral?

Answer 1

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Riemann sums help us approximate definite integrals, but they also help us formally define definite integrals. Learn how this is achieved and how we can move between the representation of area as a definite integral and as a Riemann sum.


Definite integrals represent the area under the curve of a function, and Riemann sums help us approximate such areas. The question remains: is there a way to find the exact value of a definite integral?

You can find some reference below:

https://math.wvu.edu/~hlai2/Teaching/Tip-Pdf/Tip1-29.pdf