calculus

posted by .

Find the volume when the area bounded by f(x) = xe^x, y = e, and the y-axis, is revolved around the y-axis.

  • calculus -

    xe^x = e when x = 1

    using shells,
    v = Int(2*pi*r*h dx)[0,.852]
    where r = x
    h = e-y = e - xe^x

    v = 2pi*Int(x(e-xe^x) dx)
    = 2pi *Int(ex - x^2 e^x) dx
    = 2pi * (e/2 x^2 - e^x (x^2 - 2x + 2))[0,1]
    = pi(4-e)
    = 4.03

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    Let A be the region bounded by the curves y=x^2-6x+8 and y=0, find the volume when A is revolved around the x-axis
  2. Calculus

    Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. Find the volume obtained when A is revolved around the Y-AXIS
  3. Calculus

    Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. Find the volume obtained when A is revolved around the Y-AXIS
  4. calculus

    2. Let R be the region of the first quadrant bounded by the x-axis and the cuve y=2X-X^2 a. Find the volume produced when R is revolved around the x-axis b. Find the volume produced when R is revolved around the y-axis
  5. calculus

    let R be the region of the first quadrant bounded by the x-axis and the curve y=2x-x^2. Find the volume produced when R is revolved around the X-axis
  6. AP Calculus

    Let R be the region bounded by the x-axis and the graph of y=6x-x^2 Find the volume of the solid generated when R is revolved around the y-axis
  7. calculus

    Sketch the region R bounded by the graphs of the equations and find the volume of the solid generated if R is revolved around the x axis. x= y^2 x-y =2
  8. CALCULUS HELP PLZ

    The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided …
  9. CALCULUS

    The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided …
  10. Calculus

    'Find the volume of the solid generated by revolving the region bounded by x=16-y^2, x-axis, and y-axis around the x-axis.' I know in theory how to do it, but I'm a little confused by what constitutes the bounded region because it's …

More Similar Questions