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

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]

Find the volume generated by revolving about the x-axis the regions bounded by the following graphs: y = e^x x = -1 x = 1SolutionVolume by disk method is given

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