Solving Riemann Sums: a=3,b=8 & a=5,b=10, What is f(x) & g(x)?

[MillerL7]

The following sum
Sqrt(5+5/n) * (5/n) + Sqrt(5 +10/n) * (5/n)...

is a right Riemann sum for the definite integral
a=3 and b= 8

what does f(x) equal? I got a and b but could not find f(x)

It is also a Riemann sum for the definite integral
Sqrt(5+5/n) * (5/n) (same as above)

With the same sum, we got a different a and b
a=5 and b=10
What is g(x)?
The limit of these Riemann sums as n approaches infinity = ?

 

[daniel_i_l]

Do you know how the definite integral is defined using Riemann sums?

 

[HallsofIvy]

A Riemann sum is always of the form \Sigma f(x^*) \Delta x. Which part of your sum is "\Delta x" and which part is "f(x^*)"?