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Integral Calculus Volume Problems

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I need help with these two problems. If you could please explain the solution, I would appreciate it.

1.Use cylindrical shells to compute the volume. The region bounded by y = x and y = x2 - 2, revolved about x = 3

2. A solid is formed by revolving the given region about the given line. Compute the volume exactly if possible and estimate if necessary. Region bounded by
y = sec x, y = 0, x = -π / 4 and x = π/ 4 about
( a) y = 2

( b) the x- axis

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Solution Summary

The solution gives detailed steps on finding volume using definite integral.

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