How Can We Approximate Integrals Using Summations?

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 2K views
ronm
Messages
3
Reaction score
0
Dear all, I am struggling to understand a simple integration problem. Here is my integration:

Integration [0, t] {d S(u) / r(u)}

My friend says that above integration can be approximately written as

Sum [ti <= t] {si / ri}

S is the step function increasing by si at each step.

Could I explain my problem properly? Can somebody please explain me how I can write above integration as the summation approximately? It would be really good if you can explain it graphically. What is the Generally rule to handle this kind of scenario?

Appreciate your help.
 
Physics news on Phys.org