The figure shows the region of integration for the integral. 36-x (6-x f(x, y, z) dy dz dx Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = 6 - x and z(x) = 36 - x2.) 6 6 -x f(x, y, z) dy dx dz f(x, y, z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz f(x, y, z) dx dy dz + 5-V36-z f(x, y, z) dx dz dy f(x, y, z) dx dz dy J12y-y +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume 

y(x) = 6 − x

 and 

z(x) = 36 − x2.

)

The figure shows the region of integration for the integral.
36-x (6-x
f(x, y, z) dy dz dx
Jo
Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = 6 - x and z(x) = 36 - x2.)
6
6-x
f(x, y, z) dy dx dz
f(x, y, z) dz dx dy
f(x, y, z) dz dy dx
f(x, y, z) dx dy dz
f(x, y, z) dx dy dz
+
6-V 36-z
f(x, y, z) dx dz dy
f(x, y, z) dx dz dy
J12y-y
+
Transcribed Image Text:The figure shows the region of integration for the integral. 36-x (6-x f(x, y, z) dy dz dx Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = 6 - x and z(x) = 36 - x2.) 6 6-x f(x, y, z) dy dx dz f(x, y, z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz f(x, y, z) dx dy dz + 6-V 36-z f(x, y, z) dx dz dy f(x, y, z) dx dz dy J12y-y +
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