\int_a^b \sqrt{f'(x)^2+1} \, dxYou can try it using f(x)=x and get 2^(1/2) x, how thrilling.
Showing posts with label calculus. Show all posts
Showing posts with label calculus. Show all posts
Tuesday, March 23, 2010
On the Length of a Differentiable Curve
So for a function f on an interval (a,b) the length of the curve produced is given by:
You can try it using f(x)=x and get 2^(1/2) x, how thrilling.
You can try it using f(x)=x and get 2^(1/2) x, how thrilling.
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