calculus, volume , application of integration

posted by .

show steps for the following:

Consider the curve f(x)=x^4 between x = -1 and x = 4.
a)What is the volume obtained by revolving the area under the curve around the x-axis?
b)What is the volume obtained by revolving the area under the curve (i.e. between f(x) and the x-axis) around the line y = -5?

  • calculus, volume , application of integration -

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.
    y=x^2 ,y=4x-x^2
    the x- axis b) the line y=6

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. calculus

    consider the area enclosed between the curves f(x)=x^2 and g(x)=4x what is the volume obtained by revolving the area between these two curves around the line y=20 ?
  3. math-plz help

    Consider the curve f(x)=x^4 between x = -1 and x = 4. a)What is the volume obtained by revolving the area under the curve around the x-axis?
  4. calculus

    The figure shows the region bounded by the x-axis and the graph of . Use Formulas (42) and (43)-which are derived by integration by parts-to find (a) the area of this region; (b) the volume obtained by revolving this region around …
  5. Calculus II

    Find the volume of the solid generated by revolving R about the x-axis where R is the region enclosed by the larger curve y=(e^2x)/3, the smaller curve y=1 and the line x=ln(3)
  6. calculus

    find the volume of the solid of revolution obtained by revolving the region bounded above by the curve y=f(x) = √16-x^2 and below by the curve y=g(x) from x=0 to x=x√2 about the x-axis
  7. calculus

    find the volume of the solid of revolution obtained by revolving the region bounded above by the curve y=f(x) = √16-x^2 and below by the curve y=g(x) from x=0 to x=x√2 about the x-axis
  8. Calculus

    1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the x-axis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where …
  9. intergrations

    ind the volume of the solid that is obtained when the region under the curve y = 4 − x^2/6 is revolved around the y -axis between y = 0 and y = 4 .
  10. calculus

    Find the volume of the solid that is obtained when the region under the curve y = 4 − x^2/6 is revolved around the y -axis between y = 0 and y = 4 .

More Similar Questions