Question: (a) Find the area between f(x) = 1/x and the x-axis for 1 x 10, 1 x 100, and 1 x A. What is the

(a) Find the area between f(x) = 1/x and the x-axis for 1≤ x ≤10, 1≤ x ≤100, and 1≤ x ≤A. What is the limit of the area for 1≤ x ≤A as A →∞ ?

(b) Find the volume swept out when the region in part (a) is revolved around the x-axis for 1≤ x ≤10, 1≤ x ≤100, and 1≤ x ≤A. What is the limit of the volumes for 1≤ x ≤A as A →∞ ?

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