Rotating about a curve

  • #1

Homework Statement


Find the area of the surface obtained by rotating the curve
y= 1+4 x^2
from x=0 to x = 8 about the y-axis.


Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
6
0
Hi

How did you try to solve it? Or don't you know how to start?
 
  • #3
Not sure how to start it.
Any assistance would be greatly appreciated.
 
  • #4
malawi_glenn
Science Advisor
Homework Helper
4,795
22
Is this multidimensional calculus course?

If it is, how is surface interagrals defined?

(post in relevant HW-section in the future, this is not introductory physics)
 
  • #5
tiny-tim
Science Advisor
Homework Helper
25,836
255
Find the area of the surface obtained by rotating the curve
y= 1+4 x^2
from x=0 to x = 8 about the y-axis.

Hi Tranquility13! :smile:

This is like the one about volumes.

again, divide it into horizontal slices at distance y above the x-axis, with height dy (so the slope is dy/dx).

what is the surface area of this slice (remember, it depends on the slope)?

get that, and then we'll do the integral. :smile:
 

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