Question

Identify the definite integral that represents the arc length of the curve y=1/x over the interval [1, 3]

Answer 1

my calculus is super rusty >.< but isnt the formula for arc length:
\[\int\limits_{a}^{b}\sqrt{1+y'}dx\]
something like that?

Answer 2

someone needs to com and verify that for me lol <.<

Answer 3

i dont like calculus >.<

Answer 4

Seems Scary! :/

Answer 5

that y' should be squared

Answer 6

i forgot a squared in the sqrt.
its \[\int\limits_{a}^{b}\sqrt{1+(y')^2}dx\]

Answer 7

i noticed >.< thanks! did i mention i dont like calculus yet? >.<

Answer 8

O it's 1+(1/x^4)?

Answer 9

thats whats going to go inside the square root :)