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
.
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Get started for freeDescribe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Identify the quantities determined by the integral expressions in Exercises 19–24. If x, y, and z are all measured in centimeters and ρ(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.
Explain how to construct a midpoint Riemann sum for a function of three variables over a rectangular solid for which each is the midpoint of the subsolid role="math" localid="1650346869585" . Refer either to your answer to Exercise or to Definition .
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Evaluate the iterated integral :
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