Washer/Disk
Surface Area
Shell
Integration!
Area Under a Curve
100
Find the volume if the region enclosing y=x-1, y=0, and x=3 is rotated about the x-axis. 
4pi
100
Find the surface area of the curve generated by revolving the given curve about the x-axis. 
8pi
100
Find the volume if the region enclosing y=2x, y=0, and x=3 is rotated about the y-axis.
36pi
100
Integrate the term:

x(1-sqrt(x))

1/2x^2 - 2/5x^5/2 + c
100
Calculate the area enclosed by the curve y=4x-x^2 and the line y=3.
4/3
300
Find the volume if the region enclosing y=2x, y=0, and x=3 is rotated about the line y=6. 
72pi
300
Find the surface area generated by revolving the given curve about the y-axis:


x=sqrt(9-y^2), -2<y<2.

24pi
300
Find the volume if the region enclosing y=x^2, y=0, and x=4 is rotated about the line x=4.
128pi/3
300
Evaluate the antiderivative of (1-x)e^-x with boundaries of infinity and 0.


Converges to 0
300
Calculate the area between y = x^2 - 4x + 8 and y = 8 + 4x - x^2.
64/3
500
Find the volume if the region enclosing y=1+sqrt(x), y=1, and x=4 is rotated about the line y=5.
~52.00pi
500
Find the surface area generated by revolving the curve about the stated axis.

y=sqrt(x) + (1/3)x^(3/2), 1<x<3 ; x-axis

16pi/9
500
Find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis. 


y=(1/(x^2+1)), x=0, x=1, and y=0.

pi(ln2)
500
Evaluate the antiderivative of (4x-4)/(x^2-4)
ln(x-2) + 3ln(x+2) + c
500
Calculate the area between the curves -sqrt(x) and 2sqrt(x), with x boundaries x=0 and x=4.
16.00
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