
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 8th, 2009, 10:55 AM  #1 
Newbie Joined: Mar 2009 Posts: 5 Thanks: 0  Using the washer/shell/disk when solving in terms of y.
I have an exam in two days and we got our practice exam. He put something on there that always throws me off! I am a very visual person and when I do problems with the washer/shell/disk integration, I always graph what I have before solving. When I get a problem that is in terms of y, I always get thrown since I can't really graph it. My question is, what are YOUR steps (simple please) in solving a problem like this one: x = y^2+1 and x = 5 set up an integral for the volume of the solid if it's rotated around x = 1. Any way to graph using my calculator in terms of y? I guess that's what is throwing me off. Thanks! 
March 8th, 2009, 12:11 PM  #2 
Guest Joined: Posts: n/a Thanks:  Re: Using the washer/shell/disk when solving in terms of y.
You can use washers or shells. When we use shells, the cross sections are parallel to the axis about which we are revolving. Since we are revolving about x=1, the cross sections will be 'stacked up' along the xaxis. Solve your equation for y in terms of x. Shells: 

Tags 
solving, terms, washer or shell or disk 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Disk/Washer Integration with ln function  brsystem  Calculus  4  September 16th, 2012 08:20 PM 
Help solving for variable in terms of other variables  Messerschmitt  Algebra  3  September 1st, 2012 07:35 AM 
Difference between Disk/Washer and Cylindrical Shells  Obsessed_Math  Calculus  4  July 6th, 2012 09:36 PM 
Volume Disk vs Shell Method  hackedx  Calculus  1  February 13th, 2011 06:03 PM 
solving y=tanh(yx) in terms of x  cluelessengineer  Abstract Algebra  1  March 9th, 2010 02:40 PM 