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Question

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 → ∞ R_n = lim n → ∞ [f(x₁)Δx + f(x₂)Δx + . . . + f(x_n)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) = 6

x

, 1 ≤ x ≤ 12

A = lim n → ∞ n

i = 1

 

 

Answer 1