Use Definition 2 to find an expression for the area under the graph of f as a
Question:
Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
f(x) = x2ex, 0 ≤ x ≤ 4
Transcribed Image Text:
Definition The area A of the region S' that lies under the graph of the contin- uous function f is the limit of the sum of the areas of approximating rectangles: A = lim R₁ = lim [f(x₁) Ax + f(x₂) Ax + ... + f(xn) Ax] n→∞0 n→∞
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x xe 0 x 4 A lim R ...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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