Problem 7.6

Find the volume of y = 5x from 1 to 2, rotated around the x axis

I found it easier to calculate using R

library(stats)

step1 <- function(x){5 * x}

step2 <- function(x){pi * step1(x)^2}
integrate(step2,1,2)
## 183.2596 with absolute error < 2e-12