Chapter 13: Q 65. (page 1014)
Let be an integrable function on the rectangle and , and let . Use the definition of the double integral to prove that
Short Answer
To prove this, write the double integral on left hand side as double Reimann sum.
Chapter 13: Q 65. (page 1014)
Let be an integrable function on the rectangle and , and let . Use the definition of the double integral to prove that
To prove this, write the double integral on left hand side as double Reimann sum.
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Evaluate each of the double integrals in Exercises as iterated integrals.
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Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Explain how to construct a Riemann sum for a function of three variables over a rectangular solid.
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
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