2. The figure below shows the region of integration for the integral SSI So *f(x,y,z) dydzdx. Rewrite this integral as an equivalent integral in its five other orders. z = 2y– y² or y=1-1-z z =1-x² or x=V1-z z=1-x² R2 y=1-x R y =1-x (Hint: the projections of E onto the xy-,xz-, and yz-planes

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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г1-х2 с1-х
2. The figure below shows the region of integration for the integral S. S.* S.
f(x,y,z) dydzdx. Rewrite this
integral as an equivalent integral in its five other orders.
z = 2y– y? or
y =1-V1-z
z =1-x² or
1
x=VI-z
1
1
z=1-x?
R2
y=1-x
R1
1
1
1
y
y =1-x
(Hint: the projections of E onto the xy-,xz-, and yz-planes
Transcribed Image Text:г1-х2 с1-х 2. The figure below shows the region of integration for the integral S. S.* S. f(x,y,z) dydzdx. Rewrite this integral as an equivalent integral in its five other orders. z = 2y– y? or y =1-V1-z z =1-x² or 1 x=VI-z 1 1 z=1-x? R2 y=1-x R1 1 1 1 y y =1-x (Hint: the projections of E onto the xy-,xz-, and yz-planes
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