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Use the Definition to find an expression for the area under the graph off as a f(x) = x² + √√1 + 2x, 6 ≤x≤8 lim Σ i = 1 n → ∞0

Use the Definition to find an expression for the area under the graph off as a f(x) = x² + √√1 + 2x, 6 ≤x≤8 lim Σ i = 1 n → ∞0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the Definition to find an expression for the area under the graph of f as a f(x) = x² + 1 + 2x, 6 ≤ x ≤ 8 lim n → ∞ n i = 1 Submit Answer
Transcribed Image Text:Use the Definition to find an expression for the area under the graph of f as a f(x) = x² + 1 + 2x, 6 ≤ x ≤ 8 lim n → ∞ n i = 1 Submit Answer
Definition The area A of the region S that lies under the graph of the continu- ous function f is the limit of the sum of the areas of approximating rectangles: A = lim R, = lim [f(x₁) Ax + f(x₂) Ax + ··· + f(xn) Ax] . 710
Transcribed Image Text:Definition The area A of the region S that lies under the graph of the continu- ous function f is the limit of the sum of the areas of approximating rectangles: A = lim R, = lim [f(x₁) Ax + f(x₂) Ax + ··· + f(xn) Ax] . 710
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