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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
The required solution is -18
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Question: where A is the area shown in Figure 2.8
Verify each of the following answers for an indefinite integral by one or more of the methods suggested above.
or . Hint: To find the form, make the substitution, . or see Chapter, Sections and .}
Above the triangle with vertices (0,2),(1,1) and (2,2) , and under the surface z = xy.
In Problems 17 to 30, for the curve , betweenand, find:
The moments of inertia about the x axis of a lamina in the shape of the plane area under the curve;
Use a computer or tables to evaluate the integral in 3.2and verify that the answer is equivalent to the text answer. Hint: See Problem 1.4 and also Chapter 2 , Sections 15 and 17.
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