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What is the volume of this equation using the shell method?2(pi)y((6/y+y^3)-(3/2(sqrt3))dy from the integral [1,sqrt3]

Question

What is the volume of this equation using the shell method?

2(pi)y((6/y+y^3)-(3/2(sqrt3))dy from the integral [1,sqrt3]

check_circleAnswer
Step 1

The volume for the given interval over the interv...

6
27Ty
3
dy
2/3
V
=
3
(r);
= 27
23) dy
1
(6)dy (y^^4y
27
2
=277
2
2
5
2
V3
33
1
1
|s(5-1)
=27 6
5
5
2
2
2
2
(3
|(5-1)+
V3
1
2 6
5
5
2
2
2
help_outline

Image Transcriptionclose

6 27Ty 3 dy 2/3 V = 3 (r); = 27 23) dy 1 (6)dy (y^^4y 27 2 =277 2 2 5 2 V3 33 1 1 |s(5-1) =27 6 5 5 2 2 2 2 (3 |(5-1)+ V3 1 2 6 5 5 2 2 2

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Tagged in

Math

Calculus

Integration

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