integral

posted by .

(1) The region in the x-y plane bounded by the curve y=x^2, the line x=0 and the line x=5 and the x-axis. find the volume generated

(2) Assume that a force of (3x^2-x+1)N is pulling an object at each point of the x-axis. find the work done in moving the object from x=1 to x=4

  • integral -

    1) THE differential area dA will be y dx or x^2 dx, integrated from x=0 to 5. Now integrate that around the x axis, by rotation. Area=INT Area dTheta where theta runs from 0 to 2PI

    2) Work= INT force dx
    = INT(3x^2-x+1)dx from x=1 to 4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Determine the volume of the solid abtained when the region bounded by y=sqrt x and the line Y=2 and x=0 is rotated: (i) about the x-axis (ii) about the line x=4. (i) Each element of the body of revolution with thickness dx, has area …
  2. MATH

    Find the volumes of the solids generated by revolving the region in the first quadrant bounded by the following about the given axes. x = y - y3, x = 1, y = 1 (b) Revolved about the y-axis ?
  3. integral

    the region in the x-y plane bounded by the y=x^2, the line x=0 and the line x=5 and the x-axis. find the volume generated
  4. integral Calculus

    The region in the x-y plane bounded by the curve y=x^2, the line x=0 and the line x=5 and the x-axis. find the volume generated. can you help me check for correction the answer i got was = 625
  5. integral Calculus

    The region in the x-y plane bounded by the curve y=x^2, the line x=0 and the line x=5 and the x-axis. find the volume generated. can you help me check for correction the answer i got was = 625 You want to find volume. Are you rotating …
  6. calculus

    Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, and on the left by the y-axis. Rotate the …
  7. Calculus

    Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded by the curve y=x^2, below by the x-axis, and on the right by the line x=1, about the line x=-2
  8. Math

    Find the volume of the solid generated by revolving the following region about the given axis The region in the first quadrant bounded above by the curve y=x^2, below by the x-axis and on the right by the line x=1, about the line x=-4
  9. Calculus

    Find the volume of the solid generated by revolving the region bounded by the line y=5x+6 and the parabola y=x^2 about the following lines: a) the line x=6 b) the line x=-1 c)the x axis d) the line y=36 Thanks!
  10. calculus

    Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16 - x2, below by the x-axis, and on the right by the y-axis, about the line x = …

More Similar Questions