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目录
Shell method
Setting up the Integral
例题
Example 1:
Example 2:
Example 3:
Example 4:
Example 5 :
Example 6:
Practice:
📝Summary：
Computing volumes for solids of revolution using cylindrical shells（利用柱壳法计算旋转体体积）:
Shell method
Setting up the Integral
例题
Example 1:
Use the shell method to find the volume of the solid generated by revolving the shaded region about the y-axis.
Example 2:
Use the shell method to find the volume of the solid generated by revolving the shaded region about the x-axis.
Example 3:
Example 4:
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis. You must include a clearly labeled sketch of the region.
Example 5 :
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.
Example 6:
use the shell method to find the volume of the solid generated by revolving the region bounded by the give curves about the given lines.
Practice:
Find the volume of the solid generated by the revolving the region about the given axis. Use the shell method. The region bounded by x=3 𝑦, 𝑥 = −3𝑦 𝑎𝑛𝑑 𝑦 = 1 𝑎𝑏𝑜𝑢𝑡 𝑡ℎ𝑒 𝑙𝑖𝑛𝑒 𝑦 = 1
📝Summary：
