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Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified line.$$y=x, y=x e^{1-x / 2} ; \quad \text { about } y=3$$

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$$V=\pi \int_{0}^{2}(3-x)^{2}-\left(3-x e^{1-x / 2}\right)^{2} d x=24 e-\frac{142}{3}-2 e^{2}$$

Calculus 2 / BC

Chapter 7

APPLICATIONS OF INTEGRATION

Section 2

Volumes

Applications of Integration

Missouri State University

Oregon State University

Harvey Mudd College

Idaho State University

Lectures

01:55

Use a computer algebra sys…

03:47

02:47

05:46

04:22

01:07

00:55

01:38

07:44

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