Tài liệu 333 BÀI TOÁN TÍCH PHÂN LUYỆN THI ĐẠI HỌC 2010 ppt

333 BÀI TOÁN TÍCH PHÂN LUYỆN THI ĐẠI HỌC 1/ Cho hàm số : f(x)= x.sinx+x 2 . Tìm nguyên hàm của hàm số g(x)= x.cosx biết rằng nguyên hàm này triệt tiêu khi x=k  2/Định m để hàm số: F(x) = mx 3 +(3m+2)x 2 -4x+3 là một nguyên hàm của hàm số: f(x) = 3x 2 +10x-4. 3/Tìm họ nguyên hàm của hàm số: f(x)= cos 3 x.sin8x. TÍNH : 4/I = 3 2 4 3tg xdx    5/I = 4 2 6 (2cotg x 5)dx     6/I = 2 0 1 cosx dx 1 cosx     7/ I =  2 0  sin 2 x.cos 2 xdx 8/I =  3 0  (2cos 2 x-3sin 2 x)dx 9 / I = 2 2 sin( x) 4 dx sin( x) 4        10 / I =   3 6   (tgx-cotgx) 2 dx 11/ I = 4 4 0 cos xdx   12 / I = 2 3 0 sin xdx   13*/ I = 3 3 2 3 sin x sinx cotgxdx sin x     14/I = 2 4 0 sin xdx   15/I =  3 4 22 2 cos 2 sin 1   xx dx 16/I =  4 6   cotg2x dx 17/I = 2 2 sin x 4 e sin2xdx    18/ I =   4 0 2 2 cos  x e tgx . 34/I = 1 22 3 1 dx x 4 x  19/ I =  2 4 4 sin 1   x dx 20/ I =  4 0 6 cos 1  x dx 21/I = dxxxnsix )cos(2cos 44 2 0    22/ I = 2 3 0 cos xdx   23/ I = 3 2 0 4sin x dx 1 cosx    24/ I = 1 32 0 x 1 x dx  25/I = 1 52 0 x 1 x dx  26/I = 1 0 x dx 2x 1  27/I = 1 x 0 1 dx e4  28/I = 2 x 1 1 dx 1e    29/I = 2x 2 x 0 e dx e1  30/I = x 1 x 0 e dx e1     31/I = e 2 1 lnx dx x(ln x 1)  32/I = 7 3 3 0 x1 dx 3x 1    33/I = 2 3 2 0 (x 3) x 6x 8dx    . 35/I = 4 2 2 1 dx x 16 x  36*/I = 6 2 23 1 dx x x 9  37/I = 2 22 1 x 4 x dx    38/I = 2 23 0 x (x 4) dx  39/I = 2 4 43 3 x4 dx x   40*/I = 2 2 2 2 x1 dx x x 1      41/I = ln2 x 0 e 1dx  42/I = 1 0 1 dx 3 2x  43/I = 2 5 0 sin xdx   44*/I = 3 0 1 dx cosx   45/I = 2x 1 x 0 e dx e1     46/I = ln3 x 0 1 dx e1  47/I = 4 2 6 1 dx sin x cotgx    48/I = 3 2 e 1 lnx 2 ln x dx x   . 49/I = e 1 sin(ln x) dx x  50/I = 1 3 4 5 0 x (x 1) dx  51/I = 1 23 0 (1 2x)(1 3x 3x ) dx    52/I = 2 3 1 1 dx x 1 x  53/I = 3 22 6 tg x cotg x 2dx     54/I = 1 23 0 (1 x ) dx  55*/I = 1 2x 0 1 dx e3  56/I = x ln3 x3 0 e dx (e 1)  57/I = 0 2x 3 1 x(e x 1)dx    58/I = 2 6 35 0 1 cos x sin x.cos xdx    59*/I = 23 2 5 1 dx x x 4  60/I = 4 0 x dx 1 cos2x    61/I = 2x ln5 x ln2 e dx e1  62/I = 2 e 1 x1 .lnxdx x   63/I = 2 1 0 x dx (x 1) x 1  64/I = 2 0 sin x.sin2x.sin3xdx   65/I = 2 44 0 cos2x(sin x cos x)dx    66*/I = 2 33 0 ( cosx sin x)dx    67/I = 7 3 84 2 x dx 1 x 2x  68*/I = 2 0 4cosx 3sinx 1 dx 4sinx 3cosx 5     69/I = 9 3 1 x. 1 xdx  70/I = 2 3 0 x1 dx 3x 2    71*/I = 6 0 x sin dx 2   72*/I = 2 0 x dx 2 x 2 x    73/I = 3 32 0 x . 1 x dx  74**/I = 1 2 0 ln(1 x) dx x1    75/I = 2 0 sin x dx sin x cosx    76/I = e 1 cos(ln x)dx   77*/I = 2 2 0 4 x dx  78/I = 2 1 x dx 1 x 1  . 79/I = e 1 1 3lnx ln x dx x   80/I = 3 2 2 ln(x x)dx  81/I = e 2 1 (ln x) dx  82/I = 2 e e lnx dx x  83/I = 2 e 1 lnx dx lnx  84/I = 2 2 1 xln(x 1)dx  85/I = 3 2 3 1 dx x3  86/I = 1 2 0 1 dx 4x  87/I = 2 4 0 sin xdx   88/I = 3 2 6 ln(sin x) dx cos x    89/I = 2 1 cos(ln x)dx  90*/I = 2 2 0 ln( 1 x x)dx  91*/I = 3 2 2 1 dx x1  92/I = 3 8 1 x1 dx x   93/I = 3 3 2 1 x dx x 16  . 94/I = 6 2 0 cosx dx 6 5sinx sin x    95*/I = 2 e 2 e 11 ( )dx ln x ln x   96/I = 3 2 4 x 4 dx    97/I = 2 32 1 x 2x x 2 dx      98/I = 3 4 4 cos2x 1dx     99/I = 0 cosx sin xdx   100/I = 2 0 1 sinxdx    101/I = 3 4 4 sin 2x dx    102/I = 0 1 sinxdx    103/I = 1 3 2 1 ln(x x 1) dx       104*/I = 2 0 xsin x dx 1 cos x    105*/I = 1 2x 1 1 dx (x 1)(4 1)    106*/I = 4 1 x 1 x dx 12    107/I = 2 4 0 xsin xdx   108/I = 2 4 0 xcos xdx   109/I = 6 2 0 x.sin xcos xdx   110*/I = 2x 1 2 0 xe dx (x 2)  111/I = 2x 2 0 e sin xdx   112/I = 2 2 1 1 x ln(1 )dx x   113/I = e 2 1 e lnx dx (x 1)  114/I = 1 2 0 1x x.ln dx 1x    115/I = 2 t 1 ln x dx I 2 x      116/I = 3 0 sin x.ln(cosx)dx   117/I = 2 e 2 1 cos (lnx)dx   118/I = 4 0 1 dx cosx   119*/I = 4 3 0 1 dx cos x   120/I = 2 1 3x 0 x e dx  121/I = 2 2 sin x 3 0 e .sin xcos xdx   122/I = 2 4 0 sin2x dx 1 cos x    123/I = 1 2 0 3 dx x 4x 5  124/I = 2 2 1 5 dx x 6x 9  125/I = 1 2 5 1 dx 2x 8x 26    126/I = 1 0 2x 9 dx x3    127/I = 4 2 1 1 dx x (x 1)  128*/I = 0 2 2 sin2x dx (2 sin x)    129/I = 1 2 0 x3 dx (x 1)(x 3x 2)      130/I = 1 3 0 4x dx (x 1)  131/I = 1 42 0 1 dx (x 4x 3)  132/I = 3 3 2 0 sin x dx (sin x 3)    133/I = 3 3 6 4sin x dx 1 cosx     134/I = 3 2 6 1 dx cosx.sin x    135/I = 3 0 sin x.tgxdx   136/I = 3 4 1 dx sin 2x    . 137/I = 3 4 2 2 5 0 sin x dx (tg x 1) .cos x    138/I = 3 22 3 1 dx sin x 9cos x      139/I = 2 2 cosx 1 dx cosx 2       140/I = 2 0 1 sin x dx 1 3cosx     141/I = 2 0 cosx dx sin x cosx 1    142/I = 4 2 1 1 dx x (x 1)  143/I = 1 3 3 1 dx x 4 (x 4)      144/I = 3 3 0 sin x dx cosx   145/I = 1 0 x 1 xdx  146/I = 6 4 x 4 1 . dx x 2 x 2    147/I = 0 2 1 1 dx x 2x 9    148/I = 3 2 1 1 dx 4x x  149/I = 2 2 1 4x x 5dx    150/I = 2 2 2 2x 5 dx x 4x 13     151/I = 1 x 0 1 dx 3e  152/I = 1 4x 2x 2 2x 0 3e e dx 1e    153/I = 4 2 7 1 dx x 9 x  154/I = 2 x2 0 e sin xdx   155/I = 4 2 44 0 cos x dx cos x sin x    156/I = 1 0 3 dx x 9 x  157/I = 0 xsinxdx   158/I = 22 0 x cos xdx   159/I = 1 0 cos x dx  160/I = 1 0 sin x dx  161/I = 2 4 0 xsin x dx   162/I = 2 4 0 xcos x dx   163/I = 2 0 xcos xsin xdx   164/I = 6 2 0 xcos xsin xdx   165/I = 4 x 1 e dx  166/I = 4 3x 0 e sin4xdx   167/I = 2x 2 0 e sin xdx   168/I = 2x 1 2 0 xe dx (x 2)  169/I = e 1 (1 x)ln xdx  170/I = e 2 1 xln xdx  171/I = 1 e 2 1 ln xdx  172/I = e 1 x(2 ln x)dx  173/I = 2 e 2 e 11 ( )dx ln x ln x   174/I = 2 2 1 (x x)ln xdx  175/I = 2 2 1 1 x ln(1 )dx x   176/I = 2 5 1 lnx dx x  177/I = e 2 1 e lnx dx (x 1)  178/I = 1 2 0 1x xln dx 1x    179/I = 2 3 cosx.ln(1 cosx)dx     180/ 2 2 sin x 3 0 e sinxcos xdx   181/I= 2 4 0 sin2x dx 1 sin x    . 182/I = 2 4 0 sin2x dx 1 cos x    183/I = 2 2 1 5 dx x 6x 9  184/I = 2 1 0 x 3x 2 dx x3    185/I = 4 2 1 1 dx x (x 1)  186/I = 1 2 0 ln(1 x) dx x1    187/I 4 1 6 0 1x dx 1x    188/I = 1 15 8 0 x 1 x dx  189/I = x 1 xx 0 e dx ee    190/I= e 1 e ln x dx  191/I = 2 sin x 0 (e cosx)cosxdx    192/I = 2 0 sin2x.cosx dx 1 cosx    193/I = 2 0 sin2x sin x dx 1 3cosx     194/I = 2 4 0 1 2sin x dx 1 sin2x     195/I = 53 3 2 0 x 2x dx x1    196/I = 3 2 4 tgx dx cosx 1 cos x     197/I = 2 2 1 x1 ( ) dx x2     198/I = 4 2 0 x.tg xdx   199/I = 5 3 ( x 2 x 2)dx      200/I = 4 1 2 dx x 5 4    201/I = 2 1 x dx x 2 2 x    202/I = 2 2 1 ln(1 x) dx x   203/I = 2 0 sin2x dx 1 cosx    204/I = 2008 2 2008 2008 0 sin x dx sin x cos x    205/I = 2 0 sin x.ln(1 cosx)dx    206/I = 2 3 2 1 x1 dx x   207/I = 3 4 2 0 sin x dx cos x   208/I = 2 2 0 cos x.cos4xdx   209/I = 1 2x x 0 1 dx ee  210/I = e 2 1 e lnx dx (x 1)  211/I = 1 0 1 dx x 1 x  212/I = 2 1 2 0 x dx 4x  213/I = 1 2 0 x dx 4x  214/I = 1 4 2 2 0 x dx x1  215/I = 2 0 sin3x dx cosx 1    216/I = 2 2 2 2 0 x dx 1x  217/I = 2 2 4 1 1x dx 1x    218/I = 3 7 3 2 0 x dx 1x  219/I = x ln2 x 0 1e dx 1e    220/I = 1 0 x 1 x dx  221/I = 1 2 0 x 1dx  222/I = 2 33 0 (cos x sin x)dx    223/I = 2 3 0 x1 dx x1    224/I = 1 2 2x 0 (1 x) .e dx  225/I = 2 2 0 cosx dx cos x 1    226/I = 7 3 3 0 x1 dx 3x 1    . 227/I = 2 6 1 sin 2x cos2x dx cosx sin x      228/I = x2 1 2x 0 (1 e ) dx 1e    229/I = 3 23 0 x (1 x) dx  230/I = 3 2 2 0 sin x.cos x dx cos x 1    231/I = 1 2 2 0 4x 1 dx x 3x 2    232*/I = 2 0 xsin x.cos xdx   233/I = 2 0 cosx dx cos2x 7    234/I = 4 2 1 1 dx x (x 1)  235/I = 2 23 0 sin2x(1 sin x) dx    236/I = 2 3 0 x1 dx 3x 2    237/I = 4 2 7 1 dx x x 9  238/I = 34 0 xsin xcos xdx   239/I = 2 3 2 cosx cosx cos xdx      240*/I = 1 2 1 ln( x a x)dx    241/I = 2 x 0 1 sinx dx (1 cosx)e     242/I = 2 0 sin2x sinx dx cos3x 1     243/I = 4 22 0 sin2x dx sin x 2cos x    244/I = 2 3 2 2 0 x dx 1x  245/I = 2 3 2 2 0 x dx 1x  246/I = 2 1 2 2 2 1x dx x   247/I = 2 1 2 0 x dx 4x  248/I = 2 2 2 3 1 dx x x 1  249/I = 1 5 3 6 0 x (1 x ) dx  250/I = 2 0 sin x dx 1 sin x    251/I = 2 0 cosx dx 7 cos2x    252/I = 4 2 1 1 dx (1 x)x  253/I = 2 3 0 x1 dx 3x 2    254*/I = 3 4 cosx sin x dx 3 sin2x      . 255/I = 2 3 2 cosx cosx cos xdx      256/I = 3 4 4 tg xdx    257*/I = 2 x 0 1 sin x e dx 1 cosx     258/I = 1 23 0 (1 x ) dx  259/I = 4 2 0 x.tg xdx   260/I= 2 22 0 1 dx (4 x )  261/I = 2 1 3 0 3x dx x2  262*/I = 5 2 5 1 1x dx x(1 x )    263/I = 3 2 0 cosx dx 1 sin x    264/I = 2 3 6 0 sin x dx cos x   265/I = 3 6 0 sin x sin x dx cos2x    265/I = 2 3 1 dx sin x 1 cosx     266/I = 3 62 1 1 dx x (1 x )  . 267/I = 2 2 0 sin x dx cos x 3    268/I = 2 0 sin x dx x   269/I = 2 2 0 sin xcosx(1 cosx) dx    270/I = 44 4 0 sin x cos x dx sin x cosx 1     271/I = 44 4 0 sin x cos x dx sin x cosx 1     272/I = 2 0 sin xcosx cosx dx sin x 2     273/I = 1 1 x 3 a e dx x  274/I = 32 1 2 0 x 2x 10x 1 dx x 2x 9      275/I = 3 1 23 0 x dx (x 1)  276/I = 1 3 0 3 dx x1  277*/I = 4 1 6 0 x1 dx x1    278/I = 1 3 0 x dx (2x 1)  279/I = 7 2 1 dx 2 x 1  280/I = 3 2 2 1 2 1 dx x 1 x  . [...]... t 2et 318*/Tìm x> 0 sao cho  dt  1 (t  2) 2 0  3 1  2  tgx dx 324*/I =  2 1 4  tg x dx  0 dx (e  1) e  1  1 e4 331/I = 320*/I =  3x  6x  1dx 2  1 e  4 0 x x 1 dx x cos 2 (ln x  1) 333* /I =  ln(1  tgx)dx 0 dx  . 333 BÀI TOÁN TÍCH PHÂN LUYỆN THI ĐẠI HỌC 1/ Cho hàm số : f(x)= x.sinx+x 2 . Tìm nguyên. = x ln3 xx 0 e dx (e 1) e 1  331/I = 1 4 e 2 1 e 1 dx xcos (ln x 1)     333* /I = 4 0 ln(1 tgx)dx   