Fluid Pressure and Force
Defn: Pressure = Force per unit area So P = 5
Denition of Fluid Pressure
The pressure on an object at depth h in a liquid is
Pressure : P : all
where w is the weight-density ofthe liquid per unit of volume.
(see text for s
In each of the above where rotation was around the horizontal axis, the cross-
section is the shape of a circular disk. Which means the surface area A(:r,~) is the
area ofa circle which is 7r - (radius)2 2 7r[R(;z:i)]2. So generally the volume ofthe
b
s
Area of Region Between Curves
Consider the problem of determining the area of the region between the curves
f(:z:) : :E2 +430 + 3 and g(:1:)= x2 2:1: + 2 between a: = 1 and :1: = 2. The
graphs of these functions along with some approximating rectangles
Basic Integration Rules (Review)
At this point, the text mentions 20 basic integration rules with which you should be
familiar. The goal of this section is to develop skills to help us identify which of the
basic integration rules will apply to a given in