MATH UN1102 Lecture Notes - Lecture 11: Vitex, Arc Length
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Ex ) what is the length of the arc given by y. Take the limit as dx o ds - Iz l o l 17/2 f ! Vittorio do ( i see o) do = z f! see 30 do long trig integral . "al tano seco t in ilse cotton01111 ! = turn in cranes - o - mail. Ex ) write down ( but do not evaluate ) integrals representing the following arc lengths : Sin ( ex ) from x=o to x - i fabyflttixltdx. 3 2-2 -14 t "t" - 6 -2 fabyflttixltdx fitted , fit ixtsdx ( c) Then the length of the curve x - gly ) from y. L - fi vttxdx convergent ? f- (x) - Tx f" ( x ) - i. f "t xp - If we want to know the distance from la , hall on the curve , to ( x a function six ) we need.