Asked by Sun
                Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.
 
y=ln x, y=0, x=1, x=3
 
Please show the steps in your work, thanks! :)
            
        y=ln x, y=0, x=1, x=3
Please show the steps in your work, thanks! :)
Answers
                    Answered by
            bobpursley
            
    The differential volume is from y=ln1 to y=ln3 from x=1 to 3
dv= 2PI y dx= 2PI ln x dx
V= INT 2PI ln x dx from x=1 to 3
V= 2PI (xlnx -x) from ...
    
dv= 2PI y dx= 2PI ln x dx
V= INT 2PI ln x dx from x=1 to 3
V= 2PI (xlnx -x) from ...
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