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Ranges for triple integrals

  • Thread starter naspek
  • Start date
181
0
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?
 

lanedance

Homework Helper
3,304
2
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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