- #1

c77793

- 10

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter c77793
- Start date

- #1

c77793

- 10

- 0

- #2

mathman

Science Advisor

- 8,065

- 542

Since the function f(x) is not parallel to the x axis the area differential has to take into account that effect, which for your problem is √2.

In general, you need the differential of arc length of the revolving figure which is

√(1+y'²)dx.

In general, you need the differential of arc length of the revolving figure which is

√(1+y'²)dx.

Last edited:

- #3

c77793

- 10

- 0

- #4

mathman

Science Advisor

- 8,065

- 542

- #5

HallsofIvy

Science Advisor

Homework Helper

- 43,021

- 970

The

But if we, instead, use the length of the broken line to approximate the length of the line, each segment has length 1/n and there are 2n such segments so that we get a length of

Share:

- Replies
- 33

- Views
- 1K

- Replies
- 0

- Views
- 152

- Last Post

- Replies
- 4

- Views
- 547

- Last Post

- Replies
- 2

- Views
- 394

- Last Post

- Replies
- 2

- Views
- 578

- Last Post

- Replies
- 5

- Views
- 481

- Replies
- 4

- Views
- 656

- Last Post

- Replies
- 4

- Views
- 514

- Last Post

- Replies
- 3

- Views
- 211

- Last Post

- Replies
- 6

- Views
- 486