Find the volume of a solid of revolution using the cylindrical shell method that occurs when the region bounded by the curve y = x^2 and the line y = 2^x is rotated around the y-axis
Find the volume of a solid of revolution using the cylindrical shell method that occurs when the region bounded by the curve y = x^2 and the line y = 2^x is rotated around the y-axis
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 18E
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Find the volume of a solid of revolution using the cylindrical shell method that occurs when the region bounded by the curve y = x^2 and the line y = 2^x is rotated around the y-axis.
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![5. Find the volume of a solid of revolution using the cylindrical
shell method that occurs when the region bounded by the curve
y = x² and the line y = 2x is rotated around the y-axis.
V₁ = π * 0²₁² - y₂²) dy
Vy = π
~ S" [‹√»)² – (½ ») ª] dy
V₂ =..
Vy=
www
V₂ =
Vy=...
Vy = 2π ()](https://content.bartleby.com/qna-images/question/0cb5da78-12c8-467b-adf0-b3ac60043831/b97e502c-2d9a-49c7-af81-2334e555c45d/0wrm4wu_thumbnail.jpeg)
Transcribed Image Text:5. Find the volume of a solid of revolution using the cylindrical
shell method that occurs when the region bounded by the curve
y = x² and the line y = 2x is rotated around the y-axis.
V₁ = π * 0²₁² - y₂²) dy
Vy = π
~ S" [‹√»)² – (½ ») ª] dy
V₂ =..
Vy=
www
V₂ =
Vy=...
Vy = 2π ()
Solution
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