Consider the integral lo z dxdydz, where the region 2 is located in the first octant and bounded by the plane a + y + = 1.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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What are the boundaries xupper and zupper, and what is the final result you obtain?

Consider the integral lo z dædydz, where the region N is located in the first octant and
bounded by the plane x + y + = 1.
Ω
Transcribed Image Text:Consider the integral lo z dædydz, where the region N is located in the first octant and bounded by the plane x + y + = 1. Ω
If you instead chose to evaluate the integral using the cross-section method using an x,z cross-section, you would
first integrate over the cross-section as
upper
Jo
•Lupper
z dzdz, where the way this equation is written out evaluates
the x integral first.
Transcribed Image Text:If you instead chose to evaluate the integral using the cross-section method using an x,z cross-section, you would first integrate over the cross-section as upper Jo •Lupper z dzdz, where the way this equation is written out evaluates the x integral first.
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