- #1

fridakahlo

- 10

- 1

## Homework Statement

Find the volume of the given solid.

Bounded by the planes

z = x, y = x, x + y = 5 and z = 0

## Homework Equations

V = [PLAIN]http://www.webassign.net/wastatic/wacache6cdd60ea0045eb7a6ec44c54d29ed402/watex/img/integral.gif[PLAIN]http://www.webassign.net/wastatic/wacache6cdd60ea0045eb7a6ec44c54d29ed402/watex/img/integral.giff(x,y) [Broken] dA

For a type I integral: dA=dy*dx

and the domain is: a<x<b, g1(x)<y<g2(x)

For a type II integral: dA=dx*dy

and the domain is: c<y<d, h1(y)<x<h2(y)

3. The Attempt at a Solution

3. The Attempt at a Solution

I chose to evaluate this integral by making region D as a type I integral, therefore my domain is as follows:

0<x<5/2 & x<y<5-x

My f(x,y)=x

dA=dy*dx

Is it possible to do this as a type II integral? That way my limits would look a lot nicer, but I don't know what my h1(y) and h2(y) functions would be.

#### Attachments

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