Recent content by jasonbay74
-
J
Calculate the volume of the solid of revolution of f(x)=e^x
This what I did for the disk method (about the y-axis) V=∫(lny)^2-(0)^2 dy...from 1 to 8 used two integration by parts 1st: u=(lny)^2, du=2lny/y dy, dv=dy, v=y giving: v=∏[(lny)^2-∫(y)(2lny/y)] 2nd: u=lny, du= 1/y dy, dv=dy, v=y giving: ∏[y(lny)^2-2ylny+∫y(1/y)dy answer...- jasonbay74
- Post #3
- Forum: Calculus and Beyond Homework Help
-
J
Calculate the volume of the solid of revolution of f(x)=e^x
Homework Statement Calculate the volume of the solid of revolution formed by rotating the region around the y-axis. Apply the shell method. f(x)=e^x, x=0, y=8 Homework Equations V=∫2∏x((f(x))-g(x))dx The Attempt at a Solution This is what I did: (I integrated from 0 to 8)...- jasonbay74
- Thread
- Revolution Solid Volume
- Replies: 3
- Forum: Calculus and Beyond Homework Help