Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility.

Question

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility.

y = cos 3x

y = 0

x = 0

x = 𝜋

6

 

Answer 1

Π∫Cos(3x)²dx integrate on x from 0 to Π. = 4.93480 units²

You get the exact same answer on a graphing utility or a TI calculator.