Chapter 2.3, Problem 151E

For the following exercises, use technology to graph the region. Determine which method you think would be easiest to use to calculate the volume generated when the function is rotated around the specified axis. Then, use your chosen method to find the volume.

151. [T] $y=\text{cos}\left(\pi \text{x}\right)$ , $y=\text{sin}\left(\pi \text{x}\right)$

$x=\frac{1}{4}$ , and $x=\frac{5}{4}$ rotated around the y-axis.