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Chapter 13: Q. 17 (page 1082)

Using polar coordinates to evaluate iterated integrals: Sketch the region determined by the limits of the given iterated integrals, and then evaluate the integrals.

鈭�0蟺/2鈭�03r2drd胃

Short Answer

Expert verified

鈭�0蟺/2鈭�03r2drd胃=92蟺

Step by step solution

01

Draw the region

The region determined by the limits is shown below,

02

Evaluate the integral

I=鈭�0蟺/2鈭�03r2drd胃I=鈭�0蟺/2鈭�03r2drd胃I=鈭�0蟺/2r3303d胃I=9鈭�0蟺/2d胃I=92蟺

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Most popular questions from this chapter

Evaluate the sums in Exercises 23鈥�28

鈭�i=1l鈭�j=1m鈭�k=1mij2k3

Use Definition 13.4to evaluate the double integrals in Exercises 29鈥�32.

鈭�Rxy3dA

whereR={(x,y)鈭�-2鈮�x鈮�2&-1鈮�y鈮�1}

Find the masses of the solids described in Exercises 53鈥�56.

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