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Chuyên đề Tích Phân Đề tuyển sinh  /4   2sin x dx  sin x (ĐHBO3) x 1  x  dx (ĐH AO4)  ln( x  x)dx  /2  (ĐHDO4) sin x cos x dx  cos x  /2  sin x cos x  4sin x dx 13  /2  cos x(sin x  cos x) dx 17 3  x  x dx 19 x e   ln x ln x dx x (ĐHBO4)  sin x  sin x dx  3cos x (ĐHBO5)  /2  /2 (ĐHAO6) (ĐHBO6) 12 (CĐSPHT 02) 14 25  /3 27 tgx cos x  cos x x sin x 0  cos x dx  xtg x dx  ( x   x  )dx 3 31  1 33 35 37 39 2dx x5 4   1 x4 (CĐKTTV03) 18 20   cos xdx e x ln x dx dx e x3 1 1 x ln xdx x  x  dx x5  2x3 (CĐSP HP04) (CĐSP NB04) (CĐSP BP 04) 26 (CĐSP HN 04) 28 (CĐGT 04)  x2 1 2 dx  1 e x 1 x dx x  (CĐSP KT (CĐSP HN x 2e x 30  dx ( x  2) (CĐGT 04) (CĐGT 04) 32  (4 x  x  1)e x dx (CĐLK 04) dx  5x  (CĐ A04) 38 sin x dx cos x  (CĐDD 04) (CĐSP BN04) 36 (CĐKTKTHD0  x 1  24    dx x2 1 xdx 2 x  2 x x 1 (CĐSPHT 02) (CĐSP HN04) 34 dx (CĐSPVP dx 22 (CĐ KTKT  2x  /2  /2 29  sin x sin x sin 3x dx 16   /4  /2 (CĐSP NT02) (CSM1 04) (ĐHDO6) 0   cos x) cos x dx (ĐHDO5) sin x 21  ( x  1)e x dx  /4  (e 23 (ĐHBO3)  x dx 10  ( x  2)e x dx (CĐHV04)  x dx x7 dx 15   x8  x x (ĐHBO5) ln dx 11  x e  2e  x  ln 2 (CĐKTKT 04) x  x dx 40 x  x dx 1 ln(1  x) dx x   /2 sin x   3cos x dx (CĐGT 04) (CĐ KTKT CĐHC 04) (CĐTB 04) (CĐCN 04) 41 43   x x dx  sin 2004 x dx sin 2004 x  cos 2004 x  /2 45 (CĐ ĐN 04)  x x  dx 47 x  x dx 49  x  1x dx (CĐTCKT 04) 44 (CĐ A05) 46 53 7/3  55 3x   /2  57 x 1 dx (CĐKTKT 05) 50 sin xdx sin x  cos x cos (CĐSP VL x (CĐSP ST e  x ln x dx (CĐ VL 05) x3  2x2  4x  59  dx x2  61 63 e x  /4  dx  ln x dx (sin x  cos x) cos x ln 2 x  x e dx 65 67  /4  69 71 73 75 x (1  tgx tg ) sin xdx ln(1  x) 1 x dx xdx 0  x  /4  ( x  1) cos x dx 77 79 ln   /2  e2x dx ex  cos x dx  5sin x  cos x 54 56 58  /2 e 3x sin x dx  /4   2sin x dx  sin x ln x dx x2   /2   /3  (CĐCT 05) cos x dx sin x  (CĐBT 05) x sin xdx sin x cos x (CĐSP ST 2 /4  x cos x dx xdx  (x  1)  /2  (CĐ YTTH (CĐSP QN 68 (CĐCKLK 06) 70 4sin x dx  cos x  x e 2x (CĐSP KT05)   x  dx x2  x  ( x  1)  x ln(1  x dx )dx x x  dx (CĐTCKT 06) 74 (ĐHNV 06) 76 sin x  cos x dx  sin x /4    /2   /4 (CĐSP QB (CĐCN 06) (CĐNL 06)  /2   /4  (CĐ YT 06) cos x dx (CĐSP HD06) (sin x  cos x  3) cos x   2sin x dx 80 (CĐSP QN05)  /2 78 (CĐCN 05) (CĐTC 05) 72 (CĐTH 05) e 66 (CĐ XD 05) (CĐKTKT 05) (CĐ ĐN05) (CĐSP TN06) (CĐ YT x3 dx x 1  x  3 64 (CĐSP QB06) (CĐLT 04) 4sin x dx  cos x (CĐSP VP  x ln( x  5)dx 52 62 (CĐHP 06)  60  /2 (CĐSPHN 05) xdx  (x  1) 1 48 (CĐSP (CĐGT 05) dx 51  x  2x  1 42 4sin x dx  cos x x dx cos x (CĐ ĐD 06) (CĐSP QN (CĐSP TV06) 81  1 e 83  ( 85 87 x3 dx x 1  x  3 x 1 ) ln x dx x (CĐQT KD (CĐ BT 06) x3 0 x  dx 82 x x 84 86 2x  x(e  x  1)dx 88 x 90 n/2  91  e x 1 ln 93 e 92 dx  ln  e  1.e dx e3 ln x dx x ln x  x x   2x 96 98 2  x sin x dx  /2  (2 x  1) cos x dx 100  /2  ( x  1) sin x dx dx x  x 1  x ln xdx 102 e x (ĐH D 07) 104   sin  x   dx 4  105  (ĐH B08) sin x  1  sin x  cos x   dx e 103 dx  xx dx 99  4x  2x   101 x2 94 10  x dx x e ln 97 x2  ln x.dx x 95 e  cos x sin x cos x dx 0 2x (e x  1)   cos x dx ln (CĐBK 06) e x dx  1 89 (CĐSP TG06)  x dx ln 0  /4  x dx 105  ln x dx  ln x  tg x 0 cos x dx ( ĐH A08 ) ln x dx x3  ( ĐH D08 )

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