find the volume of the region bounded by y=e^x, y=0, x=-1, x=1 rotated about the x axis

Answer 1

π∫(e^x)^2 dx evaluated from -1 to 1
this is the disk method and u substitution(u = 2x)
=.5π∫e^u du
=.5πe^2x evaluated at 1 and -1
=.5(e^2-e^-2)π
=3.626π cubic units
about 11.39 cubic units