Chapter 13: Q 73. (page 1006)
Let be real numbers and be rectangle defined by
in plane. If is continuous in interval and is continuous on
Use Fubini's theorem to prove that
Short Answer
It can be proved using definition of Fubini's theorem
.
Chapter 13: Q 73. (page 1006)
Let be real numbers and be rectangle defined by
in plane. If is continuous in interval and is continuous on
Use Fubini's theorem to prove that
It can be proved using definition of Fubini's theorem
.
All the tools & learning materials you need for study success - in one app.
Get started for freeEarlier in this section, we showed that we could use Fubini’s theorem to evaluate the integral and we showed that Now evaluate the double integral by evaluating the iterated integral.
Evaluate each of the double integrals in Exercisesas iterated integrals.
localid="1650380493598"
wherelocalid="1650380496793"
Find the masses of the solids described in Exercises 53–56.
The solid bounded above by the hyperboloid with equation and bounded below by the square with vertices (2, 2, −4), (2, −2, −4), (−2, −2, −4), and (−2, 2, −4) if the density at each point is proportional to the distance of the point from the plane with equationz = −4.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Evaluate the iterated integral :
What do you think about this solution?
We value your feedback to improve our textbook solutions.