Question

Find the length of the curve 3 v=ln(1 +t), 0< < 2. 1+ Length

Answer 1

ya mitt 10 (4)= vul-uri uz van een je dit र let). Slo-t-e (1485 (Let2 (L+t)(1)-HD (1+t2 dt caro = lett Itu da de (tt)? ادله (InU+6)=/ Itt dt It (2 x 2 litres) ² = 14th (13 (14) = 1146 2 j (1+²+1 [ITEM dt (1+t" (1+62 2 J J IT (+b)? (L+42 dt CSscanned with CamScanner

Let u=ttl du=dt 2 J SHilth? (lett dt = j Jituz du o d we have J fg' = fg -ff'g u f = July gl=112 g=-14 Jato 22 Juz! 2 JULHUZ du=- 2 du Jut1 o 2 j 1 du t u Vuzti 2 =-Juzel In(ou?titu) + 2 Sitrost til Ha Loteri3u1 + +7)] + fe J12+13²41 21 + th() (2013+1 +(2+1)] -|- -10493 In(oritt +(0+1) + Oti CS Scanned with CamScanner

941 th(dati +3 +3) -|-e + ln El +) = [+ Ion 16 +3)]- [-]+ bulv2+1} + (-10540935 3+ •B v2 46459) ---1-41421356270-88 373587) = 1.297211881 ..L = 1.2972 Eller dx = hold2+1 +3] Ulex² CScanned with CamScanner