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Chapter 13: Q. 46 (page 1055)

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

Exercise36 with the orderdy dz dx.

Short Answer

Expert verified

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

鈭�-32鈭�48鈭�-15f(x,y,z)dydzdx

Step by step solution

01

Step 1. Given Information. 

We are given,

鈭�-15鈭�-32鈭�48f(x,y,z)dzdxdy

02

Step 2. Rewriting the integral. 

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

So, the limit of the integration will vary as follows:

The limit of y alters from -1to5

The limit of zalters from 4to8

The limit of xalters from -3to2

Changing the order of integration with respect tody dz dx

鈭�-15鈭�-32鈭�48f(x,y,z)dzdxdy=鈭�-32鈭�48鈭�-15f(x,y,z)dydzdx

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