Another set of useful integrals are the so-called elliptic integrals. the complete elliptic integral of the 2nd kind can be obtained as an arc length of an ellipse: (a) calculate the arc length l of the part of the ellipse the first quadrant and show that + 1 where a 2b> 0 in - ach /2 vi-2 sin 0 de (4) where e is the ellipse's eccentricity (b) expand the integrand in powers of e and, by term by term integration, calculate the first 3 terms of the series for l. caleulato the interral 3