Chapter 13: Q.59 (page 1016)
In Exercises 59–62, evaluate the double integral over the specified region.
Short Answer
Value of the integral over the rectangular region is,
.
Chapter 13: Q.59 (page 1016)
In Exercises 59–62, evaluate the double integral over the specified region.
Value of the integral over the rectangular region is,
.
All the tools & learning materials you need for study success - in one app.
Get started for freeEvaluate each of the double integrals in Exercisesas iterated integrals.
localid="1650380493598"
wherelocalid="1650380496793"
In Exercises 57–60, let R be the rectangular solid defined by
R = {(x, y, z) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 3, 0 ≤ z ≤ 2}.
Assuming that the density at each point in R is proportional to the distance of the point from the xy-plane, find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
Use Definition to evaluate the double integrals in Exercises .
localid="1649936867482"
where
Discuss the similarities and differences between the definition of the definite integral found in Chapter 4 and the definition of the double integral found in this section.
What do you think about this solution?
We value your feedback to improve our textbook solutions.