Question

AP CALCULUS: Find the length of the curve y=2x-lnx from x=1 to x=3

Know I take the derivative somewhere, but don't know where :(

Answer 1

For a curve \(C\) defined by \(y=f(x)\), the arc length of the curve \(L\) over an interval \([a,b]\) is given by
\[L=\int_CdS=\int_a^b\sqrt{1+(f'(x))^2}\,dx\]

Answer 2

integrate the equation from 1 to 2

Answer 3

http://www.mathwords.com/a/arc_length_of_a_curve.htm

Answer 4

Thanks both of you!!