333 bài toán tích phân luyện thi đại học môn Toán45060

333 BÀI TỐN TÍCH PHÂN LUY N THI I H C 1/ Cho hàm s : f(x)= x.sinx+x2 Tìm nguyên hàm c a hàm s g(x)= x.cosx bi t r ng nguyên hàm tri t tiêu x=k  2/ nh m đ hàm s : F(x) = mx +(3m+2)x2 -4x+3 m t nguyên hàm c a hàm s : f(x) = 3x2 +10x-4 3/Tìm h nguyên hàm c a hàm s : f(x)= cos x.sin8x TÍNH :   4/I =  3tg x dx   5/I = 6/I =  sin x dx 12 / I =     cos x   cos x   dx  sin x dx 14/I =   x x dx sin cos 2   15/I = 7/ I =  sin2 x.cos2xdx  8/I =  (2cos2 x-3sin2 x)dx 9/ I=      x) dx  sin(  x)  16/I = sin(   17/I = cotg2x dx e sin x sin 2x dx   (tgx-cotgx)2 dx 18/  11/ I =  cos x dx     10 / I =  13*/ I =  (2cotg x  5) dx sin x  sin x cot gx dx sin x e tgx 2 I=  cos x 34/I =  DeThiMau.vn x 4x dx  35/I =  19/ I =  sin x dx  36*/I =   cos x dx 4  cos x(sin x  cos x)dx 37/I = 4sin x 23/ I =  dx  cosx  x  x dx 24/ I = 25/I =  x  x dx x dx 2x  1 27/I =  x dx e  dx 28/I =  x 1 e e2x dx 29/I =  x e 1 e x dx 30/I =   x 1 0e e ln x dx 31/I =  x(ln x  1) 26/I =  32/I =  x 1 dx 3x   40*/I = 2 ln 41/I = x2 1 dx x x 1 x  e  1dx 42/I =     x2  dx x 3  dx 38/I =  x (x  4)3 dx 39/I = 22/ I =  cos xdx x x 9 2  x  x dx dx 1   2  21/I = x 16  x 20/ I = 1 dx  2x 43/I =  sin xdx  dx cos x 44*/I =  e2x 45/I =   x dx e  ln dx 46/I =  x e 1  47/I =   sin x cot gx dx ln x  ln x dx 48/I =  x e 33/I =  (x  3) x  6x  dx DeThiMau.vn  e sin(ln x) dx x 64/I =  sin x.sin 2x.sin 3xdx 49/I =   50/I =  x (x  1)5 dx 65/I =  cos 2x(sin x  cos x)dx 51/I =  (1  2x)(1  3x  3x ) dx  2 66*/I =  ( cos x  sin x )dx 52/I =  1 x 1x  3 dx x7 67/I =  dx  x  2x 53/I =  tg x  cot g x  2dx  4cos x  3sin x  dx   4sin x 3cos x 68*/I =  54/I =  (1  x )3 dx 69/I =  x  xdx 1 55*/I =  2x dx e  ln ex 56/I =   (e  1) x x 1 dx 3x   x 71*/I =  sin dx 2 x 72*/I =  dx  x   x 70/I =  dx 57/I =  x(e 2x  x  1)dx 1  58/I =   cos x sin x.cos xdx 73/I = 0 59*/I =  x x 4 dx  x dx 60/I =   cos 2x ln  e 2x dx x ln e  e x 1 ln xdx 62/I =  x 1 ln(1  x) dx x  1 61/I =  x  x dx x dx 63/I =    (x 1) x 74**/I =   sin x dx  sin x cos x 75/I =  e 76/I =  cos(ln x)dx 77*/I =   x dx x dx 1  x 1 78/I =  DeThiMau.vn  3ln x ln x dx x e 79/I =  80/I =  ln(x  x)dx  cos x dx   5sin x sin x 94/I =  e2 95*/I =  ( e e 81/I =  (ln x) dx 96/I = e ln x dx x 97/I = ln x dx ln x 98/I =  e e2 83/I =  85/I = 1 4x 86/I =    99/I =  cos x sin xdx 2 100/I =   sin xdx 3 dx  sin 2x dx  101/I =  ln(sin x) 102/I =   sin xdx 87/I =  cos 2x  1dx  x  dx 3  x  2x  x  dx 1 3 84/I =  x ln(x  1)dx  x  dx 4 82/I = 1 )dx  ln x ln x    sin xdx 88/I =  cos x  dx 90*/I =  ln(  x  x)dx  x 1 x 1 dx 92/I =  x x3 dx 93/I =  x  16 dx 103/I =  ln(x  x  1)  dx   1  89/I =  cos(ln x)dx 91*/I = x sin x dx  cos x 1 dx 105*/I =  x 1 (x  1)(4  1) x4 dx 106*/I =  x 1  104*/I =  2 107/I =  x sin xdx 2 108/I =  x cos xdx DeThiMau.vn  109/I =  x.sin x cos xdx x 2ex 110*/I =  dx (x  2)  111/I =  e2x sin xdx x 112/I =  x ln(1  )dx dx x  4x  5 124/I =  dx x  6x  1 125/I =  dx 2x  8x  26 5 2x  126/I =  dx x  127/I =  dx x (x 1)  123/I =  e ln x dx (x  1) 113/I =  e 128*/I = 114/I =  x.ln 1 x dx 1 x 129/I =   116/I =  sin x.ln(cos x)dx  sin x dx 132/I =   (sin x 3)  e2  cos (ln x)dx   4sin x dx 133/I =    cos x dx cos x 118/I =    dx cos x.sin x  dx cos x 134/I =  119*/I =  x 3 dx    (x 1)(x 3x 2) 4x 130/I =  dx (x  1) 1 131/I =  dx (x  4x  3)  ln x  115/I =    dx  I  x   t 117/I =  3 x2 120/I =  x e dx  121/I =  e  sin 2x dx   (2  sin x) 135/I =  sin x.tgxdx sin x  3 sin x cos xdx sin 2x dx 122/I =   cos x 136/I =  DeThiMau.vn  sin 2x dx  sin x 137/I =  dx 2 (tg x  1) cos x  138/I = 152/I = 139/I = 140/I = 154/I = cos x  1  sin x   3cos x dx 3 156/I =  x   (x  4)  sin x 144/I =  dx cos x 0   158/I =  x cos xdx dx 159/I =  cos x dx 160/I =  sin x dx 2 145/I =  x  xdx x4 dx 146/I =  x  x  dx 147/I =  1 x  2x  dx 148/I =  4x  x  4x  x  dx 1 150/I =  2x  x  4x  13 dx 151/I =  x 3 e  x sin x dx 161/I = 149/I = dx x 9  x 157/I =  x sin xdx dx x  e sin xdx cos x 141/I =  dx sin x  cos x  142/I =  dx x (x  1) 1  x 9x dx cos x 155/I =  dx 4 cos x  sin x 0  143/I = 2x   cos x  dx        1 e 153/I =  sin x  9cos x dx   3e4x  e2x dx  162/I =  x cos x dx  163/I =  x cos x sin x dx  164/I =  x cos x sin x dx 165/I =  e  2 x dx 166/I =  e3x sin 4x dx DeThiMau.vn ... e 1  47/I =   sin x cot gx dx ln x  ln x dx 48/I =  x e 33/I =  (x  3) x  6x  dx DeThiMau.vn  e sin(ln x) dx x 64/I =  sin x.sin 2x.sin 3xdx 49/I =   50/I =  x (x  1)5 dx 65/I... x dx  sin x cos x 75/I =  e 76/I =  cos(ln x)dx 77*/I =   x dx x dx 1  x 1 78/I =  DeThiMau.vn  3ln x ln x dx x e 79/I =  80/I =  ln(x  x)dx  cos x dx   5sin x sin x 94/I = ...  1)(4  1) x4 dx 106*/I =  x 1  104*/I =  2 107/I =  x sin xdx 2 108/I =  x cos xdx DeThiMau.vn  109/I =  x.sin x cos xdx x 2ex 110*/I =  dx (x  2)  111/I =  e2x sin xdx x 112/I