Question

does ds always stand for arc length when used in an integral?

Answer 1

infintesimal arc length

Answer 2

hey! me again. :)

Answer 3

Test day

Answer 4

what does that mean?

Answer 5

yeah, in 1hr

Answer 6

small pieces of arc lenght s is ds

Answer 7

ok, other than surface integral, what other integral uses ds a lot?

Answer 8

line integral

Answer 9

it is dS in surface integral, ds in line integral

Answer 10

i thought line integral used it, but i couldn't find it in any of my homework. so in order to solve line integral using ds, i have to take the square root of x' and y' right? or do i also add 1?

Answer 11

square root of (x')^2 and (y')^2

Answer 12

ok, cool, that is what i needed to know. Thanks! :)