Th.s: Hong Tin ụng Trng THPT Phỳc Th ST: 0982963938 Đề thi môn nguyen ham nam 2016 (Mã đề 127) Cõu : Hm s no di õy l mt nguyờn hm ca hm s: y A F ( x) x x B F ( x) ln x x C F ( x) ln x x D F ( x) x B (1 x)(1 x) dx ln x ln x C D (1 x)(1 x) dx ln x ln x C x2 Cõu : Khng nh no sau õy l ỳng ? 1 1 1 A (1 x)(1 x) dx ln x ln x C C (1 x)(1 x) dx ln x ln x C 1 1 1 Cõu : H tt c cỏc nguyờn hm F ( x ) ca hm s f ( x) tan x A F ( x) ln cos x C B F ( x) tan x C C F ( x) ln cos x C D F ( x) ln sin x C Cõu : tỡm h nguyờn hm ca hm s: f(x) Mt hc sinh trỡnh by nh x 6x 1 1 (I) f(x) x 6x (x 1)(x 5) x x 1 , (II) Nguyờn hm ca cỏc hm s theo th t l: ln x , ln x x x1 1 x1 C (III) H nguyờn hm ca hm s f(x) l: (ln x ln x C 4 x Lp lun trờn, sai t giai on no? A I B III Cõu : Tỡm h nguyờn hm ca hm s f ( x) cos x sin x A C 2sin 2x C B Cõu : ln x H nguyờn ca hm s f ( x) l: x C II, III C sin x C ln x C Cõu : Vi C l hng s , bit 10x dx F ( x) C , hm s F ( x) bng : sau: D II D x sin x C 3x ln x C A ln x C B 3ln x C C D A ln10 10x B 10x ln10 C 10x ln10 D 10x Cõu : A C Cõu : Tỡm nguyờn hm F(x) bit f ( x) 2x x x2 3 x (1 x ) x 2 2 F ( x) x (1 x ) x 3 F ( x) H nguyờn ca hm s f ( x) B D 3x C B x (1 x ) x 3 F ( x) x (1 x ) x 3 F ( x) l: 3x 1 3x C Cõu 10 : Trong cỏc mnh sau, mnh no sai? A Kt qu l C 3x C D 3x C Th.s: Hong Tin ụng Trng THPT Phỳc Th ST: 0982963938 sin x ( I ) : sin x dx C 6x ( III ) : 3x x x dx xC ln A C u sai B ( II ) Cõu 11 : Kt qu ca cos x s inx 1dx bng: ( II ) : 4x dx ln x x C x x3 C (I ) B F ( x) D F ( x) D ( III ) A C s in x C 3 F ( x) s in x C F ( x) s in x 3 C s in x C Cõu 12 : Hm s F x = e x l nguyờn hm ca hm s () 2 ex x2 C f (x ) = x 2e x - D f (x ) = 2xe f (x ) = 2x Cõu 13 : Cho f ( x); g ( x ) l cỏc hm s xỏc nh , liờn tc trờn Hi khng nh no sau õy sai ? A f (x ) = e 2x A ( f ( x).g ( x))dx f ( x)dx. g ( x))dx ( f ( x) g ( x))dx f ( x)dx g ( x))dx C Cõu 14 : B Tỡm nguyờn hm ca hm s f ( x) A f ( x)dx x C C f ( x)dx (3 x) C B D ( f ( x) g ( x))dx f ( x)dx g ( x))dx f ( x)dx f ( x)dx (vi x ) l (3 x)2 B f ( x)dx x C D f ( x)dx x C Cõu 15 : Tỡm nguyờn hm: ( x 2cosx)dx A f ( x)dx= x2 2sinx C B f ( x)dx= x2 2cosx C C x2 2sinx C D f ( x)dx= x2 2sinx C f ( x)dx= Cõu 16 : Tỡm nguyờn hm A Cõu 17 : A Cõu 18 : A C Cõu 19 : sin x cos xdx l 2 2 sin x C sin x C cos3 x C cos3 x C B C D 3 3 x H nguyờn hm ca hm s f ( x) x e l ? ( x2 x 2)e x C B ( x2 2x 2)ex C C ( x2 2x 2)ex C D ( x2 2x 2)ex C s inx Tỡm nguyờn hm F(x) bit f ( x) Kt qu l s inx cosx 1 F ( x) ( x ln s inx- cosx ) C B F ( x) ( x ln s inx cosx ) C 2 1 F ( x) ( x ln s inx cosx ) C D F ( x) ( x ln s inx cosx ) C 2 H nguyờn hm ca hm s f ( x) 2x sin x l : A 6x2 cosx C B 3x2 cosx C C 6x2 cosx C Cõu 20 : Tỡm h nguyờn hm ca hm s f ( x) cot x ln sin 2x C A ln sin x C C ln cos2 x C B Cõu 21 : Hm s f(x) = cú nguyờn hm l F(x) ú F(x) bng x x2 D 3x2 cosx C D ln cos2 x C 2 Th.s: Hong Tin ụng Trng THPT Phỳc Th ST: 0982963938 x2 x A F(x)= ln B F(x)= ln x x Cõu 22 : Nguyờn hm ca I= cos x.sin x.dx l A Cõu 24 : A C Cõu 25 : A C Cõu 26 : A x D F(x)= ln x 1 cos x C cos x C D 1 H tt c cỏc nguyờn hm ca hm s f ( x) (vi x )l : 3x 1 C ln x C ln(3 x 1) C C ln(3 x 1) C B D (3x 1)2 3 x2 x Tỡm nguyờn hm F(x) bit f ( x) Kt qu l x x F(x) = x - ln(x2 x +1) + C B F(x) = - x - ln(x2 x +1) + C F(x) = - x + ln(x2 x +1) + C D F(x) = x + ln(x2 x +1) + C Nguyờn hm ca f ( x) l: x( x 3) x3 x F x ln C C B F x ln 3 x3 x 1 x x F x ln C C D F x ln x 3 x3 A cos2x + C Cõu 23 : x2 C F(x)=- ln x Tớnh B 1 x cos x C C dx , kt qu l: C B x x C C x C D Tỡm mt nguyờn hm F(x) ca hm s f(x) = tan2x bit F F ( ) Kt qu l A F ( x) tanx+x+ B F ( x) tanx-x+ 4 C F ( x) tanx-x+ D F ( x) tanx-x4 2 Cõu 28 : Cho f(x)dx x x C Vy f(x )dx ? x C Cõu 27 : A Cõu 29 : A C x5 x3 C B x xC Tỡm h nguyờn hm ca hm s f ( x) C x3 x C D x4 x2 C ln x x f ( x)dx ln x C f ( x)dx ln x C B D f ( x)dx e C f ( x)dx ln x C x Cõu 30 : Nguyờn hm ca hm s f ( x) sin x l x sin x A C C C x cos2x C B D cos x Cõu 31 : F(x) l mụt nguyờn hm ca f ( x) x3 3e x Bit F(1) = 3e thỡ F(x) = ? cos x C x A F(x)= x4 3ex ln x C F(x)= x4 3ex ln x Cõu 32 : x3 dx l Tỡm nguyờn hm x B F(x)= x4 3ex ln x D F(x)= x4 3ex ln x Th.s: Hong Tin ụng Trng THPT Phỳc Th ST: 0982963938 x x x ln x C x x x ln x C A C Cõu 33 : A Cõu 34 : Tớnh 2 x x ln x C B C F(x ) = - C x C C 2 x C D 2 x C ổp ữ Nu F (x ) l nguyờn hm ca hm f (x ) = sin x cosx v F ỗỗỗ ữ = thỡ F (x ) cú dng: ữ ữ ố4 ứ F(x ) = cos 2x + A D dx , kt qu sai l: A Cõu 35 : x x x ln x C 3 x x x ln x C B sin 2x + Tỡm nguyờn hm ca hm s f ( x) f ( x)dx ln x e f ( x)dx ln x e x x B F(x ) = - D F(x ) = cos 2x + cos 2x + x e ( x 0) x C C B D f ( x)dx ln x e f ( x)dx ln x e x C x C Cõu 36 : H nguyờn hm ca hm s sin x l sin 2x A x 2cos2x C B x +C 2 sin 2x C x 2cos2x C D x +C 2 Cõu 37 : 3x x Tỡm h nguyờn hm ca f ( x) vi x x 4 A x x ln x C x x ln x C B 4 x x ln x C C x x ln x C D Cõu 38 : Tỡm nguyờn hm ca hm s f ( x) 3x sin x l A C Câu 39 : f ( x)dx x f ( x)dx x cosx C B sin x C D sin x C cosx C ) =0 Khi ú F(x) bng 1 x 1 x C F(x)= e D F(x)= e C 2 (2 x)8 (2 x)8 C +C +C B 8 Cõu 41 : Trong cỏc khng nh sau khng nh no SAI ? A C Hm s y= e1 x cú mt nguyờn hm l F(x), bit F( 1 x A F(x)= e1 x C B F(x)= e 2 Cõu 40 : Hm s y= (2 x)7 cú nguyờn hm l A f ( x)dx x f ( x)dx x e x ex C , vi C l hng s x dx x C( 1), vi C l hng s Cõu 42 : Tỡm nguyờn hm : (3x2 5ex )dx ( x 2)8 +C B dx x C , vi C D D ( x 2)8 +C l hng s dx ln x C , vi C l hng s x Th.s: Hong Tin ụng Trng THPT Phỳc Th ST: 0982963938 A Cõu 43 : A x3 ex C Tỡm nguyờn hm: B ) dx x x3 3ln x C B (x x3 3ln x C x3 5ex C Nguyờn hm ca hm s: y = C ln 2a ln 2a -x3 5ex C D x3 5ex C C x3 3ln x C D x3 3ln x C D cos3 x C Cõu 44 : A C xa C xa xa C xa dx x2 a2 l: B D ln a ln a xa C xa xa C xa Cõu 45 : Nguyờn hm ca hm s: y = sin3x.cosx l: A tan3x + C Cõu 46 : A Cõu 47 : A C Cõu 48 : A C Cõu 49 : B cos2x + C Gi F ( x ) l nguyờn ca hm s f ( x) C x x2 sin x C tha F (2) Khi ú phng trỡnh F ( x) x cú nghim l: B C D -1 2016 Tỡm nguyờn hm F(x) ca hm s f(x) = x(1-x) , ta c kt qu l 1 1 F ( x) (1 x) 2017 (1 x) 2017 (1 x) 2016 c (1 x) 2016 c B F ( x) 2017 2017 2016 2016 1 1 F ( x) (1 x) 2017 (1 x) 2017 (1 x) 2016 c (1 x) 2016 c D F ( x) 2017 2017 2016 2016 sin x Tỡm h nguyờn hm ca hm s f ( x) e cos2 x sin x sin x C B f ( x)dx e f ( x)dx e C sin x sin x C D f ( x)dx e f ( x)dx e C (2 x sinx)dx x cosx C f ( x)dx= x3 cosx C 3 A f ( x)dx= B f ( x)dx= x C D f ( x)dx= x cosx C cosx C Cõu 50 : Nu F x l mt nguyờn hm ca f ( x) e x (1 e x ) v F (0) thỡ F ( x ) l ? A ex x B ex x C C ex x D ex x Th.s: Hong Tin ụng Trng THPT Phỳc Th ST: 0982963938 phiếu soi - đáp án (Dành cho giám khảo) Môn : nguyen ham nam 2016 Mã đề : 127 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 { { ) { ) { { { { { { { ) ) { { { { { ) { { ) { { { { | | | ) | | | | | | ) | | | | ) | | | | ) ) | | | ) | ) } } } } ) ) } ) ) } } } } } } } } ) } } } } } ) } ) ~ ) ~ ~ ~ ~ ~ ) ~ ~ ~ ) ~ ~ ) ~ ) ) ~ ~ ~ ~ ~ ) ~ ~ ~ 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 { ) ) { ) { { ) { ) ) { { { { { { { { { ) { { ) | | | | ) ) | | | | ) ) ) | | | | ) | | | | } } } } } } } } ) } } } } } } } ) ) } } } } ) ~ ~ ~ ) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ) ) ~ ~ ~ ) ~ ) ~ ... Hong Tin ụng Trng THPT Phỳc Th ST: 0982963938 phiếu soi - đáp án (Dành cho giám khảo) Môn : nguyen ham nam 2016 Mã đề : 127 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23... C f ( x)dx= x3 cosx C 3 A f ( x)dx= B f ( x)dx= x C D f ( x)dx= x cosx C cosx C Cõu 50 : Nu F x l mt nguyờn hm ca f ( x) e x (1 e x ) v F (0) thỡ F ( x ) l ? A ex x B ex x... ~ ~ ) ~ ) ) ~ ~ ~ ~ ~ ) ~ ~ ~ 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 { ) ) { ) { { ) { ) ) { { { { { { { { { ) { { ) | | | | ) ) | | | | ) ) ) | | | | ) | | | | }