Chapter 13: Q. 46 (page 1055)

In Exercises 45–52, 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,

$\int_{- 3}^{2} \int_{4}^{8} \int_{- 1}^{5} f (x, y, z) d y d z d x$

Step by step solution

Step 1. Given Information.

We are given,

$\int_{- 1}^{5} \int_{- 3}^{2} \int_{4}^{8} f (x, y, z) d z d x d y$

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 $- 1 to 5$

The limit of zalters from $4 to 8$

The limit of xalters from $- 3 to 2$

Changing the order of integration with respect tody dz dx

$\int_{- 1}^{5} \int_{- 3}^{2} \int_{4}^{8} f (x, y, z) d z d x d y = \int_{- 3}^{2} \int_{4}^{8} \int_{- 1}^{5} f (x, y, z) d y d z d x$

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In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise36 with the orderdy dz dx.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Rewriting the integral.

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In Exercises 45–52, rewrite the indicated integral with the specified order of integration.Exercise36 with the orderdy dz dx.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Rewriting the integral.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Decision Maths

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise36 with the orderdy dz dx.