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Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y = x = 2, x = 4, and the x-axis. (4-x)2/

Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y = x = 2, x = 4, and the x-axis. (4-x)2/

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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equals to DIVERGENT. (Cylindrical shell method)

Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y = (4x)²x = 2, x = 4, and the x-axis.
Transcribed Image Text:Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y = (4x)²x = 2, x = 4, and the x-axis.
Infinite Limits (Convergent or Divergent) A.= f(x) dx = _lim_ f f(x) dx too B.= f(x) dx = f(x) dx = lim ff(x) dx t-00 c. f f(x) dx=ff(x) dx + + f(x) dx Discontinuous Integral (Convergent or Divergent) 1. @x = a: (discontinuity) f f(x) dx= lim f f(x) dx t-a+ 2. @x=b: (discontinuity) f(x) dx= lim f(x) dx 3. @x = C; a < c < b (discontinuity) f(x) dx=ff(x) dx + f f (x) dx -00 <c<∞0
Transcribed Image Text:Infinite Limits (Convergent or Divergent) A.= f(x) dx = _lim_ f f(x) dx too B.= f(x) dx = f(x) dx = lim ff(x) dx t-00 c. f f(x) dx=ff(x) dx + + f(x) dx Discontinuous Integral (Convergent or Divergent) 1. @x = a: (discontinuity) f f(x) dx= lim f f(x) dx t-a+ 2. @x=b: (discontinuity) f(x) dx= lim f(x) dx 3. @x = C; a < c < b (discontinuity) f(x) dx=ff(x) dx + f f (x) dx -00 <c<∞0
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