Question
anyone knows from which calculus or book is this?
section 6.3 volume of revolution
The method of cylindrical shells Volume of Revolution: The Shell Method The solid obtained by rotating the region under y f(x) over the interval [a, b] about they-aris has volume v=2n/ (radius)(height of shell)d-2n/ xf(x)dx | L2] EXAMPLE 1 Find the volume V ofthe solid obtained by rotating the region under the graph of f(x) = 1-2x + 3x2-2x3 over [0, 1] about the y-axis. Solution The solid is shown in Figure 4. By Eq.(2). o 30 f(t) v=2m/b(radius)(Height of shell) d-Zr/bx(f(x)-g(x)) dx13 f(x) glx)
Explanation / Answer
can't tell you about book just looking at one page but i can tell you this is problem of calculus I.