Determine the volume of the spindle?

[enrichedd]

A spindle is formed by revolving the region bounded by the graphs of

y= (1/4)*[1+2e^(-x/8) *sin^(2) *((Pi*x)/4)], y=0,x=0,x=8.

About the x-axis. Determine the volume of the spindle.

Please show me how to do this?

[mrnutty]

To determine the volume you use this formula general volume formule

where:

h = any dimension of the figure,
A(h) = area of the cross-sections perpendicular to h described as a function of the position along h. a and b are the limits of integration for the volumetric sweep.
(This will work for any figure if its cross-sectional area can be determined from h).

check wiki for more info. What are you having problem with? The formation of the integral?

[Rashakil Fol]

> sin^(2) *((Pi*x)/4)

Lolwut?

[mrnutty]

Of course he means, http://latex.codecogs.com/gif.latex?sin^2(\pi*x/4))