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Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.$$x^{2}+4 y^{2}=4$$(a) About $y=2$ (b) About $x=2$

8$\pi^{2} \approx 78.9568$

03:48

Carson M.

10:44

Linda H.

Calculus 2 / BC

Chapter 7

APPLICATIONS OF INTEGRATION

Section 2

Volumes

Applications of Integration

Campbell University

Oregon State University

Baylor University

University of Nottingham

Lectures

0:00

Set up an integral for the…

05:23

08:56

01:36

(a) Set up an integral for…

03:00

04:51

03:32

03:52

08:39

07:46

$31-34$ Set up an integral…

the problem is set up. I need to grow for the volume up salad obtained by rotating the region. Brandy, the bath acumen curves about, displaces by the line. Then use your calculator to you Wander into the integral crafted toe fast decimal places at a about why I called you two had a bee is about actually doing to you. First we sketched the graph of this region. The region is thiss part. So you had a about why you go to two. I can say for each thanks. The cross section is a washer and is in earth. Why do you use is the coach you? Eh? In the Rogers is equal to two minus. No war minus explainer. Oh, what for? And outer riders? Yes, we can to us. You're tough old Linus. Max Klein. Oh, uh Or then we have the volume. The what? You? Hi. Integral from negative two, two, two, two plus two or minus exploiter or war square minus to minus. Warm Linus. Exploiter of war. Score the since its culture seventy eight point nine five six eight War apart. Details about accidental too, too for each. Why it's a cross section. Is the washer and it's in a rider's It's the culture two minus beautiful for mine. Why it's going how to writers is equally true to pass warm Linus. Well, why Square spends a volume we caught you and to grow from neck to one to one. Hi times two plus print it form Linus. Why square squared minus two ones through tio or minus Ally square. It's going you want. So this is you, can't you? Seventy eight point nine five six eight four.

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