# NEED HELP SETTING UP INTEGRAL!!

• November 13th 2008, 08:10 PM
AshleyS
NEED HELP SETTING UP INTEGRAL!!
A region E is bounded by the parabolic cylinder x = http://qaboard.cramster.com/Answer-B...9037504868.gif and the planes z = 0 and x + z = 1

express the triple integral as an iterated integral for dx dy dz and
dx dz dy
ONLY NEED HELP SETTING UP INTEGRALS
• November 14th 2008, 12:08 AM
mr fantastic
Quote:

Originally Posted by AshleyS
A region E is bounded by the parabolic cylinder x = http://qaboard.cramster.com/Answer-B...9037504868.gif and the planes z = 0 and x + z = 1

express the triple integral as an iterated integral for dx dy dz and
dx dz dy
ONLY NEED HELP SETTING UP INTEGRALS

$V = \int_{x=0}^{1} \int_{y=-\sqrt{x}}^{y = +\sqrt{x}} \int_{z = 0}^{z = 1 - x} \, dz \, dy \, dx$.

Alternatively:

$V = \int_{y=-1}^{1} \int_{x = y^2}^{1} \int_{z = 0}^{z = 1 - x} \, dz \, dy \, dx$.