Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places.

Question

If using the tabular method, values of the function in the table should be accurate to at least five decimal places.)

f(x)= 4e^-x over [0,10], n=5

Answer 1

Δx = (10 - 0)/5 = 2; n = 5

R₅= L₅ = ∑_{i = 0}⁴[4e^(- 2i)]·2 = ∑_{i = 0}⁴8e^(- 2i) = 9.251721095