# Finding the area of the surface from revolving around the x-axis

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Given:

y = -x^2 + 4x

defined on the closed domain [0,4]

a) sketch the graph

b) Revolve the graph about the x-axis. Find the area of the surface obtained.

Â© BrainMass Inc. brainmass.com May 24, 2023, 12:53 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/area-surface-revolving-around-axis-4881

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The graph is correct. To find the area of ...

#### Solution Summary

A surface aof revolution is calculated using integrals. The area of the surface from revolving around the x-axis is examined.

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