Chapter 5: Q2P (page 247)

In the problems of this section, set up and evaluate the integrals by hand and check your results by computer $\int_{x = 1}^{2} \int_{y = 2}^{1} 8 xy dxdy .$

Short Answer

Expert verified

The required solution is -18

Step by step solution

Defining the Integrals

An integral is a mathematical notion that explains displacement, area, volume, and other ideas that come from the combination of infinitesimal data.

Integrating the problem

Consider the given information,

$\int_{x = 1}^{2} \int_{y = - 2}^{1} 8 xy dxdy = (4 x^{2}_{1}^{2}) (\frac{1}{2} y^{2}_{- 2}^{1}) = - 18$

Therefore, the value is -18 .

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In the problems of this section, set up and evaluate the integrals by hand and check your results by computer $\int_{x = 1}^{2} \int_{y = 2}^{1} 8 xy dxdy .$

Short Answer

Step by step solution

Defining the Integrals

Integrating the problem

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In the problems of this section, set up and evaluate the integrals by hand and check your results by computer∫x=12∫y=218xydxdy.

Short Answer

Step by step solution

Defining the Integrals

Integrating the problem

One App. One Place for Learning.

Most popular questions from this chapter

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In the problems of this section, set up and evaluate the integrals by hand and check your results by computer $\int_{x = 1}^{2} \int_{y = 2}^{1} 8 xy dxdy .$