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Ivan
3 years ago
5

The solid lies between planes perpendicular to the x axis at x = −1 and x = 1. The

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

Answer: 352/105

Step-by-step explanation:

Diameter of the circular disk is

(2−x2)−x2

so that the radius of the disk is the diameter divide by 2

(2−x2−x2)/2.

Integrating V at 1 and -1, we get

V =Z 1−1A dx =Z 1−1π(1 − x2)2

dx = π(x −2/3x3 +1/5x5)1−1

=16/15π

= 352/105

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