Física 3

integral xcosπxx42x5 dx Limit as R approaches integral from R to R 3zejπ3 dz z22z5 Limit as R approaches integral from R to R 3cosπ3 z22z5 dz j integral from R to R 3sinπ3 dz z22z5 Solution z22z50 Δ 42016 z 2 j42 z1 1 j2 z2 1 j2 Poles z1j2z1j2 Residue for pole z 1j2 Limit as z approaches 1j2 of 3zejπ3 z1j2z1j2 1j2 3ejπ1j2 1j21j2 1j2 e2π ejπ j4 e2π 1j21 j4 I j2π e2π 1j2 1 j4 I 1e2π π2 1j2 I ReI π 2e2π integral from 0 to 2π t0 25 sin2θ z ejθ t3 jejθ0 t0 t3jejθ0 sinθ0 zz12j integral from 0 to 2π t32 12 3j 732 integral from 0 to 2π t32 12 3j 732 integrals detailed Poles z4 10 z2 1 Substitute y z2 y2 10 y 1 0 Δ 1004 y1 5 26 y2 5 26 z2 526 z2 5 26 z 56 Poles z 56 z 56 Limit for pole z 56 poles detailed Limit as z approaches 56 3z2 563 z 56 Res 56 C C562 56 C 56 56 Res 56 5 656 2 56 186 Resz 56 limit for z 56 Res 3 z2 563 C z 56 Res 56C 56 C 56 C 2 56 186 I 4j 2π C 186 186 8π 186 2π6 30a x x² 4x 13² dx 30b xcosπx x² 2x 5 dx 40c 0 2π 1 2 sen²θ dθ senθ ejθ ejθ 2j z ejθ resfa lim za 1k 1 dk 1 dzk1 z ak fz raízes repetidas ₐ fz dz 2π j Σ₁kres fz a x c x² 4 x 13² dλ lim r ⁰ᵣ c² 4b 13² dt₀ pulos Δ 16 52 36 z 4 j62 2 2 j3 ⁰ₙ 3 c3 2 j3 c3 2 j3² dt₃ Abz 2 j3 1 j ¹ t₀ 3 c3 2 j3² Ab 1 c3 2 j3² 3 2 c3 1 j3 1 c3 2 j3⁴ lim z2j3 3 2 j3 2z c3 2 j3³ 3 2 j3 c 2 j3³ c 2 j3 2 j3 2 j3 4 j3³ 4 j3³ 4 j6² 1 j54 I j2π 1 j54 11 27 Digitalizado com CamScanner