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

Exercise 41 with the order dy dx dz.

Short Answer

Expert verified

The given indicated integral with the specified order of integration is339z29z29x2z29x2z2f(x,y,z)dydxdz.

Step by step solution

01

Step 1. Given Information.

The given triple integral is339x29x29x2y29x2y2f(x,y,z)dzdydx.

02

Step 2. Rewrite the integral.

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

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

The limit of y alters from 9x2z2to9x2z2.

The limit of xalters from 9z2to9z2.

The limit of zalters from 3to3.

Hence the indicated integral with the specified order of integration is339z29z29x2z29x2z2f(x,y,z)dydxdz.

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