2.4 Arc Length of a Curve and Surface Area [STARTS AT 9:50] PROFESSOR: Well, first thing we want do for arc length from 0 to pi f prime of x is cosine x So my arc length is the integral from 0 to pi times the square root of 1 plus f prime squared. So that'd be cosine squared x dx, which is approximately 3.820 units. [ENDS AT 10:30]