Let C be a. piecewise smooth, simple closed curve on the :L' 1; plane, and R be the region enclosed by C. Show that l f mady+fw2ydrs= 3 U C f:2yd$= C 1 v'wry$2yd$:/f mini}! 4 C R {Notice that ffR :52 LEA is the moment of inertia. about jaraxis, I!\" and we have the formula. for moment of inertia. in the form of line integral to be I... = :1 fr 3:3 rig.) f :33 {lg 1:23; (in: C HillI