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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The figure shows the region of integration for the integral.
9.
36-x2 (6-x
F(x, y, z) dy dz dx
Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = 6 - x and z(x) = 36 - x2.)
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
36-z
f(x, y, z) dx dz dy
+
F(x, y, z) dx dz dy
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Transcribed Image Text:The figure shows the region of integration for the integral. 9. 36-x2 (6-x F(x, y, z) dy dz dx Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = 6 - x and z(x) = 36 - x2.) 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 36-z f(x, y, z) dx dz dy + F(x, y, z) dx dz dy Need Help? Read It
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