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Chapter 13: Q. 50 (page 1055)

In Exercises 45鈥�52, rewrite the indicated integral with the specified order of integration.

Exercise 40 with the order dx dy dz.

Short Answer

Expert verified

The given indicated integral with the specified order of integration is,

鈭�-40鈭�01-3x/2鈭�z2-23y-20f(x,y,z)dxdydz

Step by step solution

01

Step 1. Given Information. 

We are given,

鈭�02鈭�01-3x/2鈭�2x+(4/3)y-40f(x,y,z)dzdydx

02

Step 2. Rewriting the integral. 

We have to write the given integral in order of dx dy dz .

Take z=2x+43y-4, which implies x=z2-2y3-2

The limits become to the following,

z varies from -4to0and

y varies from 0to3-32xand

x varies from 0toz-23y+2

Thus, the required integral is,

鈭�-40鈭�01-3x/2鈭�z2-23y-20f(x,y,z)dxdydz

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