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Chapter 13: Q 8. (page 1014)

Which of the iterated integrals in Exercises below could correctly

be used to evaluate the double integral:

鈭�26鈭�14f(x,y)dxdy

Short Answer

Expert verified

The iterated integral will give correct value of鈭�Rf(x,y)dA.

Step by step solution

01

Given Information

Rectangular region is bounded by linesx=1,x=4,y=2andy=6.

02

Simplification

Consider integral 鈭�26鈭�14f(x,y)dxdy

For type II region, integration is done wrt xfirst and then wrt y, Inner integral is solved wrt x.

In 鈭�26鈭�14f(x,y)dxdyalso, inner integral is wrt x.

Hence, iterated integral will give correct value of鈭�Rf(x,y)dA

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Most popular questions from this chapter

Evaluate each of the double integrals in Exercises 37鈥�54 as iterated integrals.

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