练习4-2 1.在下列各式等号右端的空白处填入适当的系数,使等式成立 (1)dx d(ax) (2)cve=_dh(7x-3) 3)xx=d(x2) (4)xdx=_d(5x2) (5)xax=_d(1-x2) (6)x3dx=d(3x14-2)
练习 4-2
(edx= d(+ea) (9)sin xcr=__d(cos ex) (10)女 d(5In xD d(3-5n|x 1+9x2 d(arctan 3x) (3).=-0d0-arcn); xdx 上一页 2.求下列不定积分(其中a,b,O,q均为常数)
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(s(sinar-e5ydr (6 sindt (tan! x sec'xdr dx xlnxlninx (9)tan√+x
SInrcosr (l1 ete (12)xe (13)x cos(r2)x dx (16) cos(ot+p)sin(at +o)dt sIn x dx coS-M (18) Sinx+coSx dx SInlr-coSr
(19 dx √9-4x2 (20 9+x ()2x 22) (x+1)(x-2) 23) cosd (24) cos(at+o )dt (25) ]sin 2.xcos3xdr
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(26) cos. r cos,ar, (27) sin 5.xsin 7xx (28)tan'rsec xdx (29)/102arccosx (30)calv.dx √x(1+x) (31) arcsin x2√l-x2 1+Inx dx CrIn
(33) In tanx-dx corsini 4) d(a>0); (35) (36) dx (37)
dx (40)
练习4-3 求下列不定积分 xsin xdx arcsin x 5.「 r2lnxdx 6. e-xcosxdx 7.exin cr
练习 4-3
8.xcos dx 9.「x2 arctanxdx 10.tan xdx COSX 12.「te2dt 13.In2 xdx 14.「 rsin xcos xd 15.「x2cos2hr 16.xin(r-D)dx