Find the volume generated by revolving about the xaxis the r
Find the volume generated by revolving about the x-axis the regions bounded by the following graphs:
y = e^x
x = -1
x = 1
y = e^x
x = -1
x = 1
Solution
Volume by disk method is given by
V = integral of (f(x))^2dx......limit from -1 to 1
V = integral of e^2xdx
integrating wrt x
V = /2 e^2x
apply limits
V = /2[e^2 - e^-2]
