Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Double integration
Replies: 10   Last Post: Dec 6, 2011 12:42 PM

 Messages: [ Previous | Next ]
 Roger Stafford Posts: 5,929 Registered: 12/7/04
Re: Double integration
Posted: Dec 1, 2011 5:26 PM

"Marcio Barbalho" <marciobarbalho@yahoo.com> wrote in message <jb8gd0\$52k\$1@newscl01ah.mathworks.com>...
> firstint = int(sqrt((16*x*x+16*y*y-625)/(x*x+y*y-25)),y,0,sqrt(25-x^2))
- - - - - - - - - -
I can't comment on your error messages, but I see that the form of your inner integral is that of an incomplete elliptic integral of the second kind, and this might be the cause of your difficulty performing symbolic integration.

You can always try numerical integration techniques. However, even though the integrand is actually integrable, you will have to deal appropriately with the singularity that occurs along the periphery of the circle, x^2+y^2=5^2, presumably by a change of variables.

Roger Stafford

Date Subject Author
12/1/11 Marcio
12/1/11 Roger Stafford
12/1/11 Roger Stafford
12/2/11 Marcio Barbalho
12/2/11 Roger Stafford
12/2/11 Marcio Barbalho
12/2/11 Roger Stafford
12/4/11 Steven Lord
12/6/11 Roger Stafford
12/3/11 Roger Stafford
12/3/11 Marcio Barbalho