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 R, = lim [f(x,)Ax + f(x,)Ax + . . . + f(x,)Ax] n- c0 'n n- 00 Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = 3x cos(3x), 0 S xs A = lim n- 00. i = 1
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 R, = lim [f(x,)Ax + f(x,)Ax + . . . + f(x,)Ax] n- c0 'n n- 00 Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = 3x cos(3x), 0 S xs A = lim n- 00. i = 1
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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