Phiếu bài tập về Tích phân Giải tích 12 Anh Sơn23963

SCELL 2016 TÍCH PHÂN PHI U BÀI T P TÍCH PHÂN THEO D NG MƠN: GI I TÍCH 12 D NG 1: TÍCH PHÂN CÁC HÀM S 1, I   x (1  x) dx 2, I   x (x  1)5 dx 0 3, I   (1  2x)(1  3x  3x ) dx 4, I   x (1  x )6 dx 0 2x  dx x  I 7, x  3x  I dx x  9, I   dx x  6x  x2 dx 11, I    x x 1 dx 2x  3 5, 6, 8, I 13, I   dx x 2x   4x  dx x 5x   dx x 4x   I x dx 4x 10, I 12, x3 I dx x  16 14, x2 I dx x  7x  12 2 15, I 17, 16, x4 I   dx x 1 18, 3x I dx x  2x  1 20, dx 9x 6x   1 I  2 19, I I 1 dx 2 (x 1) (  x  2) 21, I 23, I ( 1 x 1 ) dx x2 x  2x  10x  I dx x 2x   dx 5 2x  8x  26 I   3x  dx x 1  x  dx 3 dx x 1 22, I 24, 2x  x  I dx x  x 3 dx (x  1)(x  3x  2) 26, I 28, I 27, 1 25, H UT ThuVienDeThi.com dx x (x 1)  SCELL 2016 TÍCH PHÂN x 29, I   dx (2x  1) 30, 4x  dx x  2x  x  I 31, 1 x2 I dx x x  32, 33, 3x  I dx x x 5x    34, I 35, (x  1)2 I dx (2 x 1)  36, (7x  1)99 I dx 101 (2x  1) 38, x7 I dx (1  x ) 2 x dx (x  1) 1 1 5x 37, I   dx ( x 4)  dx  x x I 39, I   dx 10 x(1 x  ) 41, I  1 dx x (1  x ) 43, 1 x2 I dx x  45, 1 x2 I dx 1 x 47, x7 I dx  x  2x 42,  x7 I dx x(1 x )  44, x 2001 I dx 1002 (1  x ) 46, x4 1 I   dx x 1 1 49, I  dx 4x dx 51, I   (x 1)  53, x3 I dx (x  1) 55, x4 1 I   dx x 1 1 48, x dx x x   I 1 2 x4 1  x(1  x ) dx 2 x I 3 40, x2 1 dx 50, I   x x   1 dx (x 4x 3)   52, I 54, I 56,  x5 I dx x(1 x )  dx 2 (4 x )  ThuVienDeThi.com SCELL 2016 TÍCH PHÂN D NG 2: TÍCH PHÂN CÁC HÀM S 1, 3, I   x  x dx 2, 7, I   x  x dx I   x  x dx 4, I x  x dx  6, x 1 dx 3x  I dx x 1 x I  dx x x 4 I  x3 1 x 17, I  x x 1 x3 dx I   (x  3) x  6x  dx 10, I 12, x 2 1 I dx  2x 14, x 16  x x 1 I3 dx 3x  16, 18, I I  27, I x 9x I  I  x 1 I x 4x 4x 2 dx dx dx x x 9 2 24, x  2x 3 22, dx  2 25, I I    x dx dx 23, 3x 20, dx 1 x2 x I dx 2x  1 21, dx I  2 19, 8, 2 15, I   x  x dx I  13, I   x (x  4)3 dx 11, I   x15  x dx 9, 5, VÔ T dx dx x 1 dx x 26, I   (1  x )3 dx 28, I  ThuVienDeThi.com 2 x 1 x dx SCELL 2016 29, I  TÍCH PHÂN x2 1 x2 31, 30, dx I 32, I   x  dx 2 I    x dx 34, I   4x  x  dx 37, 39, 41, 43, 45, 47, I  3 49, I I  2 53, 55, 57, x 4 dx x 38, I I I 40,  x4 dx x2 x2 dx x x 1 x dx x 1 44, 46, 48, x2 1 dx x2 I  1 50, dx x 1 dx I x 1  x I dx 2  x 1 x3 I dx x  1 x 1 I  dx 1  x   x I  1 (3  2x)  12x  4x x2 54, 56, dx 2 x  4x  13  I x 4 dx x  x3 I dx x I dx 4x  x x  2x  2x   1 2 42, 52, x 1 I 2 dx   x 1 x I dx 2x  2x x I dx 1  x 1 I dx x x   1 I  dx 3 x   (x  4)  51, 36, I  x2 I dx (x  1) x  1 x2 1 I dx x  I   3x  6x  1dx 1 35, 2  x  x dx 1 33, dx 58, I  ThuVienDeThi.com 1 x2 dx x2 2 dx SCELL 2016 TÍCH PHÂN 59, x I  60, dx 3x  9x  2x  I dx  2x  I dx 2x   4x  x2 1 dx I x 3x  2x  x  dx I x 1 x 1 I dx ) (1 2x   I   ( x  x )  x dx 2 1 61, 63, 65, 67, 69, 2x  3x  x 71, I x  x 1 73, I 75, (x  x ) I  x4  1  x  1 x 77, I 27  x 2 83, I 2  70, 72, dx 74, 76, 78, x )  x I   (x  1)3 2x  x dx  x ) (2   x ) 1 x x 1 x I dx x  x 3 dx I    x x x2 I  2 dx (x  1) x  I  x 1 dx dx x2 2( x  1)  x 1  x x 1 80, I   x4 (x  ) x  x x I  dx 85,  4x 82, I  84, 86, x  x  2015x dx x4 (3   x ) I dx 2x 1 x2 I dx  2x  x dx 2 3 dx x 1 x3 I dx 4x x dx I  2 ( x  1) x  1 I dx x  x 1 (1  68, dx dx I 66, dx x (1  64, dx x  x2 79, I   81, I 2 62, x2  x ThuVienDeThi.com dx SCELL 2016 TÍCH PHÂN D NG 3: TÍCH PHÂN CÁC HÀM S 1, 3, 5, 7, 9,  I   3tan x dx   2, 4, I   (2cot x  5) dx   6, I   sin x dx  I   cos x dx  I   cot x dx  8, I   (2cos x  3sin x) dx  2 11, 13, 15, 17, I   sin x.sin 2x.sin 3xdx  21, 10, 12, I   cos x.cos 4x dx 14, I   sin 2x(1  sin x) dx I     cos x cos x  cos xdx   I   tan xdx   I   tan x dx I    cos3 x sin x.cos5 xdx  I   sin x.tan xdx  16, I   sin x cos x(1  cos x) dx  18, 20, 22,  I   tan x  cot x  2dx  2   tan x  cotx  dx    19, I   I   cos2x(sin x  cos x)dx NG GIÁC  I   sin x.cos xdx  L I   cos5 x sin xdx  I   cot x dx   I  ThuVienDeThi.com tan x cos x  cos x dx SCELL 2016 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45,  I   dx  sin x  dx I cos x  I dx cos x  I dx cos x  4sin x dx I cosx   sin 2x dx  cos x I TÍCH PHÂN 24, 26, 28, 30, 32, 34,  sin x  cos x I dx sin x  cos x   sin x cos x  cos x dx sin x  I  I  cos x dx  5sin x  sin x I  cos x  sin x dx  sin 2x  I  dx  sin x cot x I  sin 2x.cos x dx  cos x I 36,  sin 2x  sin x dx  3cos x I 38,   2sin x I dx  sin 2x 40,  sin x I dx cos x 42,  sin x I dx  cos x  cos 2x dx   cos 2x I 44, 46, cos x dx  cos 2x  sin x I dx 2 (tan x  1) cos x  sin x dx I cos x  sin 2x dx  sin x I  sin 2x dx  cos x I  sin x I dx  (sin x 3) 0 sin 2x I  dx  (2  sin x) ThuVienDeThi.com SCELL 2016 47, 49, 51, TÍCH PHÂN    sin 2x  cos 2x dx cos x  sin x I   4sin x dx 48, I     cos x sin x.cos3 x I dx co s x  I  50,  dx  cos x.sin x I   sin x  9cos x dx   52, sin 3x dx  cos x I 53, 55, 57, 59, 61, 63, 65, 67, 69,  dx sin x cos x  I 54,  sin 2x dx 2 sin x  2cos x I 56,  sin x  sin x I dx cos 2x 58,  sin x dx  cos x I 60,  dx tan x  I  I  cos x cos x  62, 64, dx cos3 x I dx cos x  3cos x   dx  sin x  cos x I  sin x dx  sin x I 66, 68,  cos x cos x    I (  dx tan x  ) dx tan x  sin 2x  sin x dx co s3x  I  cos x dx  sin x I  4cos x  3sin x  dx 4sin x 3cos x   I 2 I   sin xdx   sin x dx 3cos x  I I  cos x   cos x  dx   70, tan x I  cos x dx sin x  c os x  I ThuVienDeThi.com SCELL 2016 71,  cos x dx  cos 2x I 73, 75, 77, I TÍCH PHÂN 2   72, sin x dx x 74, I dx  sin x 76,  dx I cos x  78,  cos x dx 79, I   (1 cos x)   81, I    cos x dx  cos x I  cos3 x I dx cos x   sin x I dx cos x  dx 2cos x  sin x  I 82,  cot x  tan x  2tan2x dx sin 4x  I   83, I   sin x sin x  dx  84, dx 2sin x  I  2 85, cos x dx cos x  I 80, sin x  cos x dx  cos x    I    sin x dx 86, I   (cos3 x  1)cos xdx  8cos x  87, I   sin x.(2   cos2x )dx   89, I sin 4x 88, 90, dx sin x  cos6 x I dx   sin x  cos x I  sin x dx  (sinx cos x) I  91, 93,  I    sin 2x  2cos xdx 92, 94,  sin 2x  dx sinx  cos x  dx sinx cos x  I  cos x  sin x dx  sin 2x I ThuVienDeThi.com SCELL 2016 95,  TÍCH PHÂN sin x I cos x  sin x   tan(x  ) dx I cos 2x 97,  99, tan x I cosx  cos x  101, 103, cos x dx 105, I   (1 cos x)   dx  ex 1, I   dx x e  e2x dx 3, I    x 1 0e ln dx 5, I   x e 1 dx 7, I   x 1 e e2x dx 9, I   x e 1 e x dx 11, I    x 1 0e I  e sin 2x I cos x  4sin x  3x 1 dx sin x dx cos  5sin x x cos x 100, 102, 104, 106,  tan x I dx cos 2x  cos 2x dx   (cos x si n x 3) I  I   cot x I ln I  SIÊU VI T e x  1dx 1 dx x e  ln ex 4, I 6, I  8, (e  1) x I 12, 14, dx dx 3 e I   2x dx x e e  (1  ex )2 I dx 2x e  x 10, I  e ThuVienDeThi.com dx sin x.cos x  sin x.sin( x  2, dx I D NG 4: TÍCH PHÂN CÁC HÀM S ln 96, 98, 3sin x  4cos x I dx 2 3sin x  4cos x   sin(x  ) dx I  2sinx cos x   13, dx  x dx  ) dx SCELL 2016 15, I TÍCH PHÂN e2x ln  dx e 1 ln ex 17, 19, I I 21, 23, x e e ex x ln  16, x dx 18, (e  1) e  x x dx e2 I ( 20, e 22, 1 )dx  ln x ln x ln x  ln x I dx x e ln x I dx x(ln x  1) I 24, 1 e I  dx 2x e  1 I  27, 29, I e2  31, ln x dx ln x 33, I  35, 37, 39, 41, 43, ( e x  2)2 x sin 2x dx  I   ln(x  x)dx e I   ln xdx 28, I e2 ln x  x dx e 32,  34, I   sin x.ln(1  cos x) dx I   ln(1  tan x)dx I   esin x sin x cos3 xdx dx  2 30, I   ln(x  x  1)  dx   1  2ln x dx  x 2ln x  ln( x   1) I dx x x    2 x  2 x I x dx x     3ln x ln x dx x I ln  e2 x dx 1  e  e ln x I  dx x  ln x ln 2e3x  e2 x I  dx x x e 4e   1 6x I x dx x x  3.6  2.4 ln e e I dx I   ln(  x  x)dx 3ln 26, 2x I   esin e 25,  e2x e  e tan x  I dx cos x 3e 4x x x 36, 38, 40, 42,  I   sin x.ln(cos x)dx 44, I   ln( x  a  x)dx 1 ThuVienDeThi.com SCELL 2016 TÍCH PHÂN D NG 5: TÍCH PHÂN T NG PH N 1, e I   ln xdx 2, I   ln(x  x)dx 3, 5, 7, 9,  I   x sin xdx 4, e I   (1  x)ln x dx e 8, I   x ln x dx I   x(2  ln x) dx 11,  I   e x sin xdx 13, I   e2x sin xdx  I   x sin x.cos xdx I   x ln(x  1) dx 10, 12, I   (x  x)ln x dx  I   e3x sin 4x dx 14, I   (x  1)2 ln x dx  2 15, 17, I   x sin x dx  I   x.tan xdx 19, 2x I   x ln(1  )dx x e ln x I  23,  (x  1)2 dx 21, 25, 27, 16, I   x cos x dx  x dx  cos 2x 18, I 20, I   x cos xdx  I   (1  x) e dx e 2 I   x 3e x dx e 6,  1 x I   x.ln dx  x x 2ex I dx (x  2) 0 22, I   x(e 2x  x  1)dx 1 e 24, 26, x 1 ln xdx = x I  ln(sin x) dx cos x  I 28, I   cos(ln x)dx ThuVienDeThi.com SCELL 2016 29, TÍCH PHÂN  I   esin x sin 2xdx 30,  I   esin 31, I e 32,  cos(ln x)dx 33, 35, 37, 39, 41, I ex a x 34, dx ln x dx x I  cosx 3x 1 I  e 38, I   ln( x   x)dx 40, e x dx 42, dx I x ln(x   x ) I 2, 4, 6, C BI T dx (e 1)(x 1)   1 I  x sin x I  x dx   I   ln( x  a  x)dx 1 1 2x )dx 7, I   x ln(  x 1 sinx  x I  dx x  1 8, dx x (x 1)(4 1)   1 I  10,   cosx ln(x  x  1)dx   13, I   12, I      x I   ( x  1) ln( )dx   x  dx  dx  I   ln(x  x  1)dx I x 1 2 cos2 x I   2x dx  e  11, x2 D NG 6: L P TÍCH PHÂN 9, 1 x x4 I  dx x  1  5, 36, ln( x  1) I dx x 1 3, I   cos x.ln(1  cos x) dx 1,   1 x I   x ln dx x  lnx I dx x    sin x sin x cos3 x dx I 1 x   14, sin x 1 x  x x sin x dx  cos x I ThuVienDeThi.com dx   (e 1)(x 3) x dx SCELL 2016 TÍCH PHÂN  x sin x 15, I   dx  sin x 17,  I   x sinxcos2 xdx 19, 21, 23, 25, 27, 29, 31, 33, 35, 16, x tan x dx 18, I   4cos x 20,  4sin x dx (sin x  cos x) I 22,  I   ( cos x  sin x )dx 24,  sin x I dx cos x sin x  26, 28, 30,  4sin 4x I dx sin 4x cos 4x   5sin x  4cosx dx (sin x cos x)  I  I   (cos3 x  sin x) dx  I   (cos 2014 x  sin 2014 x)dx  sin 2014 x I   2014 dx 2014 sin x cos x   sin 2014 3x I   2014 dx 2014 sin 3x cos 3x  32, I 1 x   x dx  2x 1  34, 2   tan (cosx) dx I   cos (sinx)   36, cos x sin x I dx sin x cos x  I cos x I dx 4 cos x sin x  0  2cos 2x I dx (sin 2x cos 2x)    3cos3 x I dx sin x cos x  x sin x I dx cos x   sin x I dx sin x  cos x   2  x sinx dx  I   ln(1  tan x)dx ThuVienDeThi.com SCELL 2016 TÍCH PHÂN T NG H P TÍCH PHÂN – CÁC BÀI TỐN THI 1, I   x  2x  x  dx 2, 1 3, 4, 3 5, 7, 9, x  3x  6, dx sin x  sin x dx  3cosx I (A-2005) sin 2x.cosx dx  cos x I 11, I  10 13, I  dx x  x 1 2x  I dx   2x 8, I   sin x.tanxdx (B-2005) 10, 17, (D-2005.DB) (B-2006.DB) I   (tanx  esin x cosx)dx (B-2005) 12, 14, dx (A-2006) 2x 4x    I  I (A-2007.DB)  (A-2008) dx (A-2006) (B-2006) 18, I   (x  2) e 2x dx (D-2006) e (D-2008) 20, I   x ln xdx (D-2007) I   (cos3 x  1) cos xdx  sin(x  ) dx 22, I   sin x  2(1  sin x  cos x)   (A-2009) 3 x  e x  2x e x I dx x  2e tan x I dx cos 2x  ln x dx 23, I   x 1) (  16, sin 2x cos x  4sin x ln I  x dx x 3 ln e  2e ln x 19, I   dx x (B-2009) 24, dx x e  I (D-2009) e 25,  21, (A-2005.DB) 15,   ln x dx x ln x  I   ln x dx e  e3 2 I    sin xdx e 4x  I I   cos x sin xdx I   ( x   x  ) dx  (A-2010) 26, ThuVienDeThi.com ln x dx  x(2 l n x) I (B-2010) SCELL 2016 TÍCH PHÂN e 27, I   (2x  ) ln xdx x 29, (D-2010)  1 I x sin x dx cos x  ln(x  1) 31, I   dx x 28, I  30, 35, I   x  x dx (A-2012) 32, 37, 41, 45, 47, 36, (x  1)2 I dx  x (D-2013) 38, ( x  x)e x I dx x x e  40, xe x I x dx (e  ) x 1  (1  sinx)1 cosx I   ln dx  cos x  x(2ln x  1) dx  x( x 1) I 51, 53, ln(sin x  cosx) dx cos x I 44, I (x  1)lnx dx x ln  x 1 e  1 x2 I    x  1dx    x 0  e (x  1)ln x  I dx  x ln x  42, 1 49, I   (D-2012) (A-2013) (B-2013) 2x  e x  x e x I  dx  ex 1  I   x(1  sin 2x)dx 34, 43,  x2 1 I   ln xdx x 39, (D-2011) e sin x dx  sin 2x I 4x  dx 2x   (B-2012)  I 33, x sin x  (x  1)cosx dx (Ax sin x  cos x  2011) (B-2011) x3 I dx x  3x   2x 46, I (2 48, I   sin 4x  4sin x  cos x  cos x  I    ln x dx  x  ln x  1 I dx ( x  1) (3x  1) dx x  9) 3.2  x  x2 x e 2x dx  50, (sin x  cosx )2 I dx 2 cos x(sin 2x  cos x ) 52,  ln x   3x ln x dx I     x  ln x e e ThuVienDeThi.com   x  x dx SCELL 2016 55, 57,  61, 63, 54, tan x.ln(cosx) I dx cos x sin x  cosx  dx sin x  2cos x  I 56, ln x dx x I  58, I dx   sin x.sin(x  ) 1  1 I   1  dx x 1x  67, I 60, 62, dx x  x 1 I  64, ln x  dx x 73, 66, I   (e2 x  x) e x dx sin 2x dx 4sin x cos 2x    77, cos x  sin x 70, 72, dx 74,  3cosx  sin x dx (sin x 2cos x)  I  I   cos3x.esin x dx ln(5  x)  x  x dx I x 1 (x  2)2 (2x  1) I   (x  1)  2x dx  cosx  cos3 x I dx c o s x  I   x 3cos( x )dx 76,   sin I ThuVienDeThi.com cos x x dx t dx (x   ) xcos x I dx sin x  sin x  cos2 x(1  e3x )dx   I I I  4 75, ln(1  ln x) I dx x 68, I     I   sin 2x.e  sin x dx 71,  69, 2x I dx x x   3 x 1  dx   cot x 65,  x  x2 I   xe   x3   e 59, TÍCH PHÂN SCELL 2016 TÍCH PHÂN x(ln x  1) 79, I   dx x  2x   2 I 80, x3  x I dx   x 3x 1 81, x2 I dx 2 (1  x ) 83, ln(x  x ) I dx x 5sin x  4cosx dx sin 2x  78, 1 85, I I  cosx cosx  cos xdx e 84,  2  I   x ln   87, 82, 86, x ln xdx  sin 2x dx  cos x I I  x tan(  ).sinx(1  sinx) dx 89, I   cos3 x  2x  2x  I dx 2x   1 91, 93, 88, 95, 92, I 97, 99, I ( e   1)  x dx  I   101, I    x  dx  x ln x   103, I  ln (cos x) 10  94, (x  2) x  dx x2 2sin x  cosx dx (sin x cos x)  I  xcos 2x dx (1 sin 2x)  96, I 98,  cos3 x  cosx  sinx  I  x dx cos x     100, x2 I dx (xsi n x c osx)  102, x  (x  2) ln x dx x(1  ln x) e dx dx x   (1  x )  e tan x x   sin 2x I dx 8sin x cos 2x    I   ln(3x  x )  ln x dx e2x dx x  x 1 2 ln x I  x  cos x   sin xdx   I   ln(1  cosx).sin xdx  2 90,  1 x dx 1 x ThuVienDeThi.com I SCELL 2016 105, 107, 109,  cosx dx x e (1 sin 2x)  I I e2 106, ln x  ln x  dx x2 I e (3x  2)  x  dx x    e (x 1) x xe  dx x x(e ln x)  I x  x ln x  x I e dx x 115, 117, x ln(x   x ) 1 x 119, I  114, dx x 1 dx 116, 118, ( x  1)ln x  2x  I dx x l n x  e I    x(2  x)  ln(4  x ) dx ln(1  x) dx x  120, 123, 127, 129, (1  2x)ln x  dx  x ln x  sin 2x  cos 2x dx  sin x cos x I I 2x  3x    x2 I dx x 122, x 9 dx I   x  1.sin x  1dx ln( x  3) I dx x2 124, x  2ln x dx (x  1) 126, dx 128, I  I   sin 4x ln(1  cos x)dx 131, ln(x  x  )  3x 3 I I I e 125, x  I  x e  dx x  0  x2 1 x I e dx (x 1)  x3 x ln( x  1)  x I dx x2 1 121, 1 x 1 e3 110, x 3e x  sin x I dx sin 2x  ln x  e x (e x  ln x) I dx x 1 e I  e 112, e x  (x  sin x)sin x dx sin x  sin x 108, x e  xln x  x ln x  I  dx  x(1 ln x) e x I I 2  e 113, 104,  x ln x.ln exdx e 111, TÍCH PHÂN 130, ThuVienDeThi.com x2 dx   (x 1) 3x I SCELL 2016 133, I ln  137, ex  e 3 x 135, TÍCH PHÂN 132, dx I   x ln(3x  x )dx 134, ln I   sin 2x  5cos x dx 5sin x cos 2x   136, I  xe x I dx x 2x   138,  ln x 141, I   dx x  3ln x I  143, I   (x  x) x  dx x  3x  dx 3cos x  sin x cos x  1  x(1  ln x) dx x(x  1) 140, I 142, x(ln x  ln x) I dx   1 x ln x e 147, 149, x ln x dx (ln x x 1)   I I 1  1  x   I  1 x2 144, e sin x  cos x  dx I x 157, I  e  dx   x  x  3x   152, I   x  ln x  x  x2 1 154,  ln x(ln x  2) dx x ln x x 1 dx x(x  ln x) I (x  1)sin(ln x)  x cos(ln x) dx x e2 I ln  156, I e 159, x dx x 1 x ln x I dx (ln x  1) e2 I 150, I  e 155, 148,  x2 1 146, 151, I   dx 1 x  x 1 153,  3ln x 2x  e  xdx x2  ln x  ln x I dx (ln x x 1)   1 I   1 e dx sin x dx I e 145, x 4x  e 10 x dx e x  e x  x3 139, x2 1 I dx  x 3x 1 158, I ThuVienDeThi.com dx (x  2)e2x  x (1  ex )  e x dx 2x x e  e 1 dx 1  x   x xe  e  1  dx 3 x x ex  ... x) dx x  120 , 123 , 127 , 129 , (1  2x)ln x  dx  x ln x  sin 2x  cos 2x dx  sin x cos x I I 2x  3x    x2 I dx x 122 , x 9 dx I   x  1.sin x  1dx ln( x  3) I dx x2 124 , x ...  cos x   2  x sinx dx  I   ln(1  tan x)dx ThuVienDeThi.com SCELL 2016 TÍCH PHÂN T NG H P TÍCH PHÂN – CÁC BÀI TỐN THI 1, I   x  2x  x  dx 2, 1 3, 4, 3 5, 7, 9, x  3x  6, dx sin...  I   sin x.ln(cos x)dx 44, I   ln( x  a  x)dx 1 ThuVienDeThi.com SCELL 2016 TÍCH PHÂN D NG 5: TÍCH PHÂN T NG PH N 1, e I   ln xdx 2, I   ln(x  x)dx 3, 5, 7, 9,  I   x sin xdx