The expression (1/50)(sqrt(1/50)+sqrt(2/50)+sqrt(3 /50)++sqrt(50/50) is a riemann sum approximation for

describes a sum of the areas of 50 rectangles, each of width , and the th rectangle has height .

ranges from a small positive number to 1, which means the integration interval must be . The sum is then the right-endpoint Riemann sum of over the interval with equally spaced subintervals, so



The sum itself evaluates to roughly 0.676, while the exact value of the integral is .