please help calculus
posted by david .
find the volume of the solid formed by revolving the region bounded by y=e^x, y=0, x=o and x=1 about the y axis
by using the shell method, i got
v=2*pi int(o to 1) (x)(e^x) dx
and my teacher said the answer is e/2 but i keep getting a different answer
Are you sure it is to be rotated about the y axis?
Your attempt ends in dx suggesting you are rotating about the x axis.
It would be a relatively easy question if it is rotated about the x axis, but if you rotate about the y axis that would involve the integral of Pi*(ln y)^2 dy from 1 to e
let me know which way it is before I do that difficult question.
Respond to this Question
Similar Questions

Calculus
This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of … 
calculus
find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3,y=1, and x=2 about the xaxis using the disk method. 9 express the answer in terms of pie) i got the answer to be 3/5 pie but im not sure if … 
Calculus
1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^x, and … 
Calculus
Find the volume of the solid formed by revolving the region bounded by y=x^3, x=2 and y=1 about the yaxis. Please help =( 
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 the xaxis,the yaxis,and the line x = 4 
Calculus
We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? 
Calculus
We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? 
Calculus  Volume by Integration
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the yaxis: y=(x2)^32, x=0, y=25 (a)solve by either the disk or washer method (b)solve by the shell method (c)state which … 
Calculus  Volume By Integration
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the yaxis: y=(x2)^32, x=0, y=25 Solve by either the disk or washer method. I calculated the volume using the shell method … 
Calculus
Can you please check to see if these answers are correct?