Double integral

1. Mar 22, 2006

denian

http://www.mrnerdy.com/forum_img/mq1.JPG [Broken]

from the equation given, i change it into f(x,y).
how can i obtain the region of integration for x and y?

thank you.

Last edited by a moderator: May 2, 2017
2. Mar 22, 2006

neutrino

Are sure that the equation is linear in all the variables?

3. Mar 22, 2006

HallsofIvy

I don't understand that question: first, being linear is not really relevant to the problem (it just makes the integration easier) and, second, yes, it clearly is linear in all variables!

However, denien, I would point out that $\frac{x}{3}+ \frac{y}{4}+ \frac{z}{5}= 1$ is not a solid! It may well give one boundary of a solid but where are the others? (Possibly the coordinate planes?)

Last edited by a moderator: Mar 22, 2006
4. Mar 22, 2006

neutrino

Thanks...I'll have to straighten out my terminology. I just wanted to convey the fact that the given equation did not represent a solid.

5. Mar 30, 2006

denian

so, does it represent a plane instead?

6. Mar 30, 2006

J77

Are any ranges of integration given?

7. Mar 30, 2006

denian

no. only given that equation.