Calculus HELP plz

posted by .

Find the area of the surface obtained by rotating the curve y=sqrt(4x) from x=0 to x=1 about the -axis.


about the x-axis.

surface area=
⌠ 2pi * f(x)*sqrt[1 + (f'(x))^2] dx from a to b


it's been 45 years since I used that formula.

I ended up with the integral of (2pi(4x + 4)^(1/2) dx from 0 to 1

looks pretty straighforward after this, let me know whether it worked out.

BTW, what level is this from, surely not highschool.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Suppose that the region between the x-axis and the curve y=e^-x for x>=0 has been revolved around the x-axis. Find the surface area of the solid. I got 3*pi The book shows an answer of pi * [sqrt(2) + ln(1 + sqrt(2))] Where do I …
  2. calculus II SURFACE AREA Integration

    Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(1 + 5x) from 1 ≤ x ≤ 7
  3. Calculus I

    Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(1+5x) from 1<x<7
  4. Calculus I

    Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(1+5x) from 1<x<7
  5. Math - Calculus

    Find the area of the surface of revolution generated by revolving the curve y = 3 sqrt (x), 0 <= x <= 4, about the x-axis. Okay, so I've set up the integral like this: 2pi ∫[0,4] (3 sqrt (x))(sqrt(1+(1/4x)))dx Which is coming …
  6. Calc 2 Urgent Surface Area of Revolution Question

    Find the area of the surface generated when y=4x and x=1 is revolved about the y-axis. We have to use the surface area formula of revolution. Integral (2pi*f(x)sqrt(1+f'(x)^2))dx
  7. Calculus

    Hello, I would like to make sure the answers to these questions are correct. 1. Using the shell method, what is the volume of a solid that is generated by rotating the region by y = x^2 and x = y^2 about the x axis. My Work: r = y …
  8. Calculus

    Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: ∫[4,1] …
  9. calculus

    Find the exact area of the surface obtained by rotating the curve about the x-axis. y=((x^3)/4)+(1/3X), 1/2≤X≤1
  10. calculus

    Find the exact area of the surface obtained by rotating the given curve about the x-axis. x=t^3, y=t^2, 0 ≤ t ≤ 1

More Similar Questions