The expression below is a Riemann Sum approximation for which of the following?
(1/50)(sqrt(1/50)+sqrt(2/50)+sqrt(3/50)...sqrt(50/50))

A. integral 0S1 sqrt(x/50) dx
B. integral 0S1 sqrt(x) dx
C. (1/50) integral 0S1 sqrt(x)dx

Question

The expression below is a Riemann Sum approximation for which of the following?
(1/50)(sqrt(1/50)+sqrt(2/50)+sqrt(3/50)...sqrt(50/50))

A. integral 0S1 sqrt(x/50) dx
B. integral 0S1 sqrt(x) dx
C. (1/50) integral 0S1 sqrt(x)dx

kinggeorge · Answer

I saw this same question on here a few days ago...

Anyways, since you're going to $\sqrt{50\over50}=\sqrt{1}$ and each interval is exactly $1/50$, it's the integral from 0 to 1 of $\sqrt{x}$