KIM TRA TIT TCH PHN 4 Caõu , Th tớch trũn xoay gii hn bi ng y = sin x + cos x , y = 0, x = 0, x = quay 12 quanh trc honh cú kt qu l: B 32 A 24 C 32 D 16 x2 + x Caõu ,Hm s F ( x ) = l mt nguyờn hm ca hm s no: x x2 x2 C x 3ln x + + x + 3ln x A B x2 2 1 Caõu Bit f (x)dx = v f (2x)dx = Tớnh D + x2 [ 2f (x) + 1] dx = ? A 39 B 40 2x Caõu : H nguyờn hm ca f ( x) = x + e l C + e2 x + C x + 2e x + C A B Caõu : Nguyờn hm ca hm s f ( x ) = sin3x l: 1 cos3x + C cos x + C A B x 275 B 12 C 41 C D 18 + 2e x + C x + e2 x + C D C cos3x + C D 3cos3x + C 265 C 12 255 D 12 Caõu .:Tớnh tớch phõn sau: ( x + ) dx 270 A 12 Caõu : Cụng thc nguyờn hm no sau õy l sai ? A sin xdx = cos x + C C x dx = B x +1 + C ( 1) +1 D e dx = e x x +C cosxdx = sin x + C Caõu Xỏc nh a, b, c cho g ( x) = (ax + bx + c) x - l mt nguyờn hm ca hm s f ( x) = 20 x - 30 x + khong 2x - A a=-2, b=1, c=4 ổ3 ỗ ; +Ơ ỗ ỗ ố2 ữ ữ ữ ứ B a=1, b=-2, c=4 C a=4, b=2, c=2 D a=4, b=-2, c=1 Caõu Cho I = x x dx Nu t x = t thỡ I bng : A t ( t ) dt 0 B t ( t ) dt C ( t t ) dt 1 2 D t ( t ) dt Caõu 10 Hm s f ( x) = x x + cú mt nguyờn hm l F ( x) Nu F (0) = thỡ giỏ tr ca F (3) l 886 105 116 15 A 146 15 B ( si n4x )dx = a + b ln , Khi ú Caõu 11 ., + cos2 x C D b a bng: A B C D -3 x Caõu 12 , Din tớch hỡnh phng gii hn bi hai ng cong y = (1 + e ) x v y = (e + 1) x l? e e e e ( vdt) ( vdt) + ( vdt) + ( vdt) A B C D 2 ln x Caõu 13 : Cho tớch phõn I = x dx = a b ln ú a, b Q Khi ú 4ab bng: A -1 B C D Caõu 14 .Bit y = f ( x ) l hm s chn, cú o hm trờn Ă v A P = B P = 32 3 f ( x ) dx = Tớnh P = f ( x ) dx C P = 16 )dx Caõu 15 :Tớnh tớch phõn sau: ( 2x 3ln B 3ln + A 2 D P = C 3ln + Caõu 16 Din tớch hỡnh phng gii hn bi th ca: y = x 3ln + D 2x , trc Ox v ng thng x = 0, x = l:: A B C D Caõu 17 : Bit hm s F ( x ) = ( a + 1) x bx + 5x + l mt nguyờn hm ca hm s f ( x ) = 4x 9x + 10x Khi ú a+ b l: A -1 B -2 C D Caõu 18 Cho f ( x) l hm s l v liờn tc trờn Ă v bit f ( x) dx = Khi ú giỏ tr tớch phõn A 12 B C D -6 b Caõu 19 Bit f ( x ) dx = 10 , F(x) l mt nguyờn hm ca f(x) v F(a) = -3 Tớnh F ( b ) a A F ( b ) = 13 B F ( b ) = x5 C F ( b ) = 16 dx = ( 2ln a b ) Chn ỏp ỏn ỳng: Caõu 20 , Bit I = x + A a - b = 13 B a