Area of R = [(ln x) – (x-2)] dx

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Presentation transcript:

Area of R = [(ln x) – (x-2)] dx Part (a) Area of R = [(ln x) – (x-2)] dx .15859434 ??? 3.1461932 Area of R = 1.949 units2 The intersection points can be found using the graphing calculator. They are x=.15859434 and x=3.1461932

Volume of R = p [(ln(x) +3)2 – (x-2 +3)2] dx Part (b) Volume of R = p [(ln(x) +3)2 – (x-2 +3)2] dx .15859434 ??? 3.1461932 Volume of R = p [(ln(x)+3)2 – (x+1)2] dx .15859434 ??? 3.1461932 (x, ln x) (x, x-2) 3 y = -3 Volume of R = 34.198 or 34.199 units3

shell method Part (c) Volume of R = 2p x [(ln x) – (x-2)] dx ??? .15859434 ??? 3.1461932 shell method