Calculus
posted by Pan
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis.
y=ln x, y=0, x=1, x=3
Please show the steps in your work, thanks! :)

drwls
Each slab of width dx of the resulting solid is a circular disc with volume
pi (ln x)^2 dx
Integrate that function from x=1 to x=3.
You do the steps. We'll be glad to critique your work. 
drwls
This may help you doing the integration:
http://www.karakasonline.de/forum/viewtopic.php?t=4026
Respond to this Question
Similar Questions

Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :) 
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis. x = y(25 − y2)^1/2 x = 0 the yaxis 
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 the xaxis,the yaxis,and the line x = 4 
calculus
find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=2sqrtx, y=o, x=3 about the xaxis. 
calculus
1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=6, and y=7. Show … 
Calculus Voulme
find the volume of the solid generated by revolving the region r bounded by the graphs of the given equations about the yaxis. x^2+y^2=1 x=1 y=1 
Math (Calculus)
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the yaxis. (Use Disc Method) y=3(2x), y=0, x=0 
Math (Calculus)
Use the disc method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. y=x^3, y=0, x=2 a)the xaxis b)the line x=4 
Calculus
I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 … 
Calculus 2
Find the volume of the solid generated by revolving the region bounded by the graphs of the quations about the xaxis. Y=x^2+4 Y=x^2+2x+8 X=0 X=3