Chapter 13: Q. 47 (page 1055)

In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise37 with the order dx dy dz.

Short Answer

Expert verified

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

$\int_{0}^{3 - y} \int_{0}^{3} \int_{0}^{3} f (x, y, z) d x d y d z$

Step by step solution

Step 1. Given Information.

We are given,

$\int_{0}^{3} \int_{0}^{3} \int_{0}^{3 - y} f (x, y, z) d z d y d x$

Step 2. Rewriting the integral.

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

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

The limit of xalters from $0 to 3$

The limit of yalters from $0 to 3$

The limit of zalters from $0 to 3 - y$

Hence the indicated integral with the specified order of integration is,

$\int_{0}^{3 - y} \int_{0}^{3} \int_{0}^{3} f (x, y, z) d x d y d z$

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In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise37 with the order dx dy dz.

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.Exercise37 with the order dx dy dz.

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

Geometry

Logic and Functions

Statistics

Pure Maths

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise37 with the order dx dy dz.