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 x5 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 x2 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 x3 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 x3 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 xx 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 )