find the volume of the solid formed by rotating region enclosed by:
y=e^3x , y=0, x=0, x=0.1
about the y-axis.
volume =?
using shells of thickness dx
v = ∫[0,0.1] 2πrh dx
where r = x and h = y = e^(3x)
v = ∫[0,0.1] 2πxe^(3x) dx = 0.038
y=e^3x , y=0, x=0, x=0.1
about the y-axis.
volume =?
v = ∫[0,0.1] 2πrh dx
where r = x and h = y = e^(3x)
v = ∫[0,0.1] 2πxe^(3x) dx = 0.038