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Chapter 13: Q. 14 (page 1003)

Explain why using an iterated integral to evaluate a double integral is often easier than using the definition of the double integral to evaluate the integral.

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Most popular questions from this chapter

Evaluate each of the double integral in the exercise 37-54 as iterated integrals

$\int \int_{R} (2 - 3 x^{2} + y^{3}) d A W h e r e R = {(x, y) | - 3 \leq x \leq 2, 3 \leq y \leq 5}$

Evaluate the triple integrals over the specified rectangular solid region.

$\begin{aligned} ∭_{R} (x + 2 y + 3 z) d V, where \\ R = {(x, y, z) ∣ 0 \leq x \leq 4, 1 \leq y \leq 5, and 2 \leq z \leq 7} \end{aligned}$

Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.

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

$How many summands are in \sum_{j = j_{0}}^{m} \sum_{k = k_{0}}^{n} j^{k} ?$

Evaluate each of the integrals in exercise 33-36 as iterated integrals and then compare your answers with those you found in exercise 29-32

$\int \int_{R} x^{2} y^{3} d A W h e r e R = {(x, y) | 1 \leq x \leq 3, 0 \leq y \leq 2}$

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Explain why using an iterated integral to evaluate a double integral is often easier than using the definition of the double integral to evaluate the integral.

Short Answer

Step by step solution

Step 1. Given information:

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Most popular questions from this chapter

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