calculus
posted by Dylan .
F(x)=e^(3x/2)
Let R be the region between the graph of f and the xaxis on the interval 0 to 1 . Find the volume V of the solid of revolution generated by revolving R about the xaxis. Give both exact (symbolic) and approximate (numeric) answers.

calculus 
MathMate
Consider a thin vertical slice of width dx.
If we rotate the slice about the xaxis, we get a disk of thinkness dx and area πf(x)^2, so the volume is
πf(x)^2 dx.
Integrate all slices from 0 to 1 gives you
∫πf(x)^2 dx
Hint: I get 0.995... as the volume, and the symbolic answer has a factor of π/3.
If further assistance is required, feel free to post.
Respond to this Question
Similar Questions

calculus
Give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the xaxis, the lines x=1 and x=e, about the yaxis 
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis. x = y(25 − y2)^1/2 x = 0 the yaxis 
Calculus II
Find the volume of the solid generated by revolving the triangular region with vertices (1,1), (b,1), and (1,h) about: a) the xaxis b) the yaxis 
Calculus (Solid of Revolution)
The region R is bounded by the xaxis, x = 1, x = 3, and y = 1/x^3. C. Find the volume of the solid generated when R is revolved about the xaxis. 
Calculus
5. Find the volume of the solid generated by revolving the region bounded by y = x2, y = 0 and x = 1 about (a) the xaxis (b) the yaxis 
Calculus
The following are about an infinite region in the 1st quadrant between y=e^x and the xaxis. A) Find the area of the region B)Find the volume of the solid generated by revolving the region about the yaxis 
Calculus
The following are about an infinite region in the 1st quadrant between y=e^x and the xaxis. B)Find the volume of the solid generated by revolving the region about the yaxis Part A was solved below. Does anyone know how to do Part … 
integral calculus
find the volume of the solid generated by revolving the area by the given curves about the indicated axis of revolution y^2=4ax,x=a;about the yaxis 
integral calculus
find the volume of the solid generated by revolving the area by the given curves about the indicated axis of revolution y^2=4ax,x=a;about the yaxis. 
Calculus
I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 …