SOLUTION: Hi, how are you? I have a problem.Please help me.How can I know a length of an unstreigth line by theorm? please answer for me. Thank you v

Question 184059: Hi,
how are you?
I have a problem.Please help me.How can I know a length of an unstreigth line by theorm?
please answer for me.
Thank you vrey much!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let f(x) be continuously differentiable on [a,b]. Then the arc length L of f(x) over [a,b] is given by:

Similarly, if x = g(y) with g continuously differentiable on [c,d], then the arc length L of g(y) over [c,d] is given by:

If the function is described in polar coordinates by

then the arc length is given by:

Many of these integrals can only be solved using numerical methods.

John

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