常用积分公式（一）含有的积分()axb+0a≠1．dxaxb+∫＝1lnaxbCa++2．＝()axbxμ+∫d11()(1)axbCaμμ++++（1μ≠−）3．dxxaxb+∫＝21(ln)axbbaxbCa+−++4．2dxxaxb+∫＝22311()2()ln2axbbaxbbaxbCa⎡⎤+−++++⎢⎥⎣⎦5．d()xxaxb+∫＝1lnaxbCbx+−+6．2d()xxaxb+∫＝21lnaaxbCbxbx+−++7．2d()xxaxb+∫＝21(ln)baxbCaax++++b8．22d()xxaxb+∫＝231(2ln)baxbbaxbCaaxb+−+−++9．2d()xxaxb+∫＝211ln()axbCbaxbbx+−++（二）含有axb+的积分10．daxbx+∫＝32()3axbCa++11．dxaxbx+∫＝322(32)()15axbaxbCa−++12．2dxaxbx+∫＝222332(15128)()105axabxbaxbCa−+++13．dxxaxb+∫＝22(2)3axbaxbCa−++1www.kaoshidian.com考试点更多精彩视频http://www.kaoshidian.com14．2dxxaxb+∫＝22232(348)15axabxbaxbCa−+++15．dxxaxb+∫＝1ln(0)2arctan(0)axbbCbbaxbbaxbCbbb⎧+−+>⎪++⎪⎨⎪++<⎪−−⎩16．2dxxaxb+∫＝d2axbaxbxbxaxb+−−+∫17．daxbxx+∫＝d2xaxbbxaxb+++∫18．2daxbxx+∫＝d2axbaxxxaxb+−++∫（三）含有22xa±的积分19．22dxxa+∫=1arctanxCaa+20．22d()nxxa+∫=2221222123d2(1)()2(1)()nnxnnaxanaxa−−x−+−+−+∫21．22dxxa−∫=1ln2xaCaxa−++（四）含有的积分2(0axba+>)22．2dxaxb+∫＝1arctan(0)1ln(0)2axCbbabaxbCbabaxb⎧+>⎪⎪⎨−−⎪+<⎪−+−⎩23．2dxxaxb+∫＝21ln2axbCa++2www.kaoshidian.com考试点更多精彩视频http://www.kaoshidian.com24．22dxxaxb+∫＝2dxbxaaaxb−+∫25．2d()xxaxb+∫＝221ln2xCbaxb++26．22d()xxaxb+∫＝21daxbxbaxb−−+∫27．32d()xxaxb+∫＝22221ln22axbaCbxbx+−+28．22d()xaxb+∫＝221d2()2xxbaxbbaxb+++∫（五）含有的积分2axbxc++(0a>)29．2dxaxbxc++∫＝222222222arctan(4)44124ln(4)424axbCbacbacbaxbbacCbacbacaxbbac+⎧+<⎪−−⎪⎨+−−⎪+>⎪−++−⎩ac30．2dxxaxbxc++∫＝221dln22bxaxbxcaaaxbxc++−++∫（六）含有22xa+(0a>)的积分31．22dxxa+∫＝1arshxCa+＝22ln()xxaC+++32．223d()xxa+∫＝222xCaxa++33．22dxxxa+∫＝22xaC++34．223d()xxxa+∫＝221Cxa−++3www.kaoshidian.com考试点更多精彩视频http://www.kaoshidian.com35．222dxxxa+∫＝22222ln()22xaxaxxa+−+++C36．2223d()xxxa+∫＝2222ln()xxxaCxa−+++++37．22dxxxa+∫＝221lnxaaCax+−+38．222dxxxa+∫＝222xaCax+−+39．22dxax+∫＝22222ln()22xaxaxxa+++++C40．223()dxax+∫＝22224223(25)ln()88xxaxaaxxaC+++++...
