2. Let g (x) = xe. Let R be the region bounded by y = g (x) and the x-axis for x between O and 3. a. Find the area of R. Show your work in evaluating any integrals using appropriate techniques. b. Rotate R about the x-axis to get a solid of revolution. Find the volume of this solid. Show your work in evaluating any integrals using appropriate techniques.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let g (x) = xe. Let R be the region bounded by y = g (x) and the x-axis for x between O and 3.
a. Find the area of R. Show your work in evaluating any integrals using appropriate techniques.
b. Rotate R about the x-axis to get a solid of revolution. Find the volume of this solid. Show your work in evaluating
any integrals using appropriate techniques.
Transcribed Image Text:2. Let g (x) = xe. Let R be the region bounded by y = g (x) and the x-axis for x between O and 3. a. Find the area of R. Show your work in evaluating any integrals using appropriate techniques. b. Rotate R about the x-axis to get a solid of revolution. Find the volume of this solid. Show your work in evaluating any integrals using appropriate techniques.
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