Arc Length of Segment Under Curve

[Guest]

Here we calculate the arc length of a seqment of a plane curve defined by an equation y = f(x).

Find the arc length of the curve
f(x)=ln(cos x)
over the interval [0,pi/4]

 

[pka]

\(\displaystyle \L
\int\limits_0^{\frac{\pi }{4}} {\sqrt {1 + \left( {f'(x)} \right)^2 } dx}\)