Let R be the region in Quadrant 1 bounded by the graphs of y=lnx and y=1.Find the exact volume of the solid generated by rotating R about the y-axis. Thanks for help.
Last edited by mr fantastic; Mar 13th 2010 at 05:43 PM. Reason: Changed post title
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The requested volume is... (1) Kind regards
thank you,could you tell me where did you get that e^2x?
Originally Posted by jupiter92 Let R be the region in Quadrant 1 bounded by the graphs of y=lnx and y=1.Find the exact volume of the solid generated by rotating R about the y-axis. Thanks for help. A=circumference x height= now integrate
Originally Posted by jupiter92 thank you,could you tell me where did you get that e^2x? Simply I swap the y-axis and the x-axis so that the area is defined for and and rotation is around the x axis. This conducts to use the formula... (1) ... where , formula that leads to a more confortable integration... Kind regards
thanks.
btw,could you tell me what does the dx stand for?
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