The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A =
lim
n → ∞
Rn =
lim
n → ∞
[f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx]
Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
f(x)= ^3√x, 1 ≤ x ≤ 17