The curve:

my work so far:

anyways after that mess I am really not sure how to integrate this with u-substitution. If I made a mistake please let me know or some direction if I am right so far would be very helpful!! Thanks a lot!

Printable View

- February 5th 2010, 08:44 PMjfinkbeiCalculating Arc length of a curve.
The curve:

my work so far:

anyways after that mess I am really not sure how to integrate this with u-substitution. If I made a mistake please let me know or some direction if I am right so far would be very helpful!! Thanks a lot! - February 5th 2010, 09:33 PMShananay
- February 5th 2010, 09:46 PMShananay
for the integrand I'm getting

Both the top and bottom are perfect squares, so factor and simplify and let

EDIT: It might not be that simple actually, I haven't done the whole problem. You may need to make an additional substitution. Let me know if you get stuck again and I'll try to work it out.

EDIT2: you shouldn't need to sub at all for this integral. Sorry, I'm all mixed up right now. - February 6th 2010, 02:28 AMHallsofIvy
so

which is just the first formula with " " changed to " ". It is

so the square root just gives

- February 6th 2010, 06:27 AMShananay