Write the surface area s as an integral let r be the region

Question

Let R be the region bounded by y = 1/x, the x - axis, x = 1, and x = b, where b > 1. Let D be the solid formed when R is revolved about the x-axis.

(a) Find the volume V of D.

(b) Write the surface area S as an integral.

S= 2π₁∫  dx

(c) Find the limit of V as b→∞.