# Ranges for triple integrals

1. Jul 6, 2011

### naspek

Write a triple integral to represent the volume of the solid

The wedge in the first octant and from the cylinder y^2 + z^2 <= 1 by the planes
y=x, x=0, z=0

First..
i find the range for z..; 0 <=z<= sqrt(1- y^2)

then...
i find the range for y..; let z =0
0<=y<=1

next, if i let z = y = 0

how am i going to find the range for x?

2. Jul 7, 2011

### lanedance

have you drawn a picture? it depends where you put it in the integration....

it could be 0 to y for example...

this may be easier in cylindrical co-ords, though i haven't tried it