1、键入文字常 用 积 分 公 式（一）含有 的积分( )axb0a1 d1lnC2 （ ）()x1()xba13 dab21lna4 2x223()()lnxbxbaxbC 5 d()xab1lnaC6 2()2lxb7 2d()xab21(ln)aCx8 2()x23(l)bba9 2d()ab21ln()xCx（二）含有 的积分10 dx3()axb11 ab32()15axbC12 2x2233(18()0axb13 dab2)axb键入文字14 2dxab223(48)15axbaxbC15 xln(0)2arctxbb16 2dxa dxax17 bxbb18 2da d2axxa（三
2、）含有 的积分x19 =2a1rctnxCa20 =2d()nx2212213d()()()n nxa 21 =2xa1laCx（四）含有 的积分(0)b22 2dxa1arctn(0)lxbbC23 2xb21lnab24 2da2dx键入文字25 2d()xab21lnxCab26 2()x2dx27 32d()ab2221lnabCx28 2()x22d()x（五）含有 的积分abc0a29 2dxabc222222rctan(4)441lxbCbacbacx 30 2dxc 2dlnbxacc（六）含有 的积分2(0)31 2xa1rshxC2ln()xaC32 23d()x22xa3
3、3 2aC34 23d()x21xa35 2xa222ln()xaC键入文字36 23d()xa 22ln()xxaCa37 2x1lnx38 22da2aC39 x222ln()xxaC40 23()da22423(5)ln()88axa41 x31xC42 22da4222()ln()88axaC43 2x22lnxax44 2dax22l()aCx（七）含有 的积分2(0)45 =2dxa1rchxCa2lnxa46 23()x22x47 2daaC48 23()x21x键入文字49 2dxa222lnaxxaC50 23()x 22lxa51 2da1rcosC52 22x2x53 d
4、a222lnaxaC54 23()x22423(5)ln88xxa55 da31a56 22xx4222()ln88axxaC57 2da2arcosC58 2x22lnxx（八）含有 的积分2a(0)59 2dxrcsinxC60 23()ax22ax61 2dC键入文字62 23d()xa21Cax63 2x22arcsinx64 23d()ax2riCax65 221ln66 22dxa2axC67 22arcsinx68 23()dax2243(5)arcsin88xC69 31axC70 22dxax422()arcsin88x71 2 22lnaCx72 2dax2rcsix（九）
5、含有 的积分2b(0)a73 2dxac 21lnxbaxbcC74 b24a键入文字2234ln8acbxaxbcC75 2dxabc2123lnbaxaxbcC76 2dxcba 21rcsi4bCc77 232arcsin484x xbaxCac78 2dxcba 2321ribc（十）含有 或 的积分x()bx79 dab()()ln)aaxbC80 x()()rcsixb81 d()xab2arcsinCx()ab82 x 2()arcsin44bxxCb()（十一）含有三角函数的积分83 sindxcosxC键入文字84 cosdxinC85 talcosx86 cxi87 sed
6、lnta()42xClnsectaxC88 cxltlot89 2sedtanC90 cxco91 setasex92 cdxcC93 2sin1sin24x94 cox95 sidn121sicosindnxx96 cx c97 sin12sinsinxx98 dcox dcoco99 simn1 21sicosindmnmx 2x100 sincodaxb11cos()cos()2()2()ababxC键入文字101 sindaxb11sin()sin()2()2()abxabxC102 coi()i()()()103 dsinxab22tanrcxbCab2()ab104 six22ta
7、1lnxba2()105 dcosabxarct(tn)2xCb2()b106 csxt1lna2bax2()a107 22dosinabrct()bC108 22cix1anltx109 sinda2sncos110 2x231incosxaxaxC111 cos2cs112 2dxa23incsixxxa（十二）含有反三角函数的积分（其中 ）0113 rcsin2rcsiC键入文字114 arcsindx22()arcsin44xaxC115 2ri3221ri()9116 acosdx2acosx117 r22()r44xaC118 2arcosdx3221arcos()9x119 tn2tnlxx120 arcdx21()arctC121 2tn3322tnln()6xax（十三）含有指数函数的积分122 dxa1lxC123 ea124 ax2(1)eax125 edn 1dnnx126 xa2l(l)xxaC127 dnx 11dllnxx128 esiab2e(sicos)ab129 cox xxC
