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Ranges for triple integrals

  1. Jul 6, 2011 #1
    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. jcsd
  3. Jul 7, 2011 #2

    lanedance

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    Homework Helper

    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
     
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