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简介:高等数学积 分 表公 式 推 导 目 录(一)含有 bax + 的积分(1~9)·······················································1(二)含有 bax + 的积分(10~18)···················································5(三)含有 22 ax ± 的积分(19~21)····················································9(四)含有 )0( 2 >+ abax 的积分(22~28)············································11(五)含有 )0( 2 >++ acbxax 的积分(29~30)········································14(六)含有 )0( 22 >+ aax 的积分(31~44)·········································15(七)含有 )0( 22 >− aax 的积分(45~58)·········································24(八)含有 )0( 22 >− axa 的积分(59~72)·········································37(九)含有 )0( 2 >++± acbxa 的积分(73~78)····································48(十)含有 或 ))(( xbax −− 的积分(79~82)···························51(十一)含有三角函数的积分(83~112)···········································55(十二)含有反三角函数的积分(其中 0>a )(113~121)·······················68(十三)含有指数函数的积分(122~131)··········································73(十四)含有对数函数的积分(132~136)··········································78(十五)含有双曲函数的积分(137~141)··········································80(十六)定积分(142~147)····························································81附录:常数和基本初等函数导数公式·········································85bxax−−± - 1 -(一)含有 bax + 的积分(1~9)CbaxlnabaxdxbaxtC t lnadttabaxdxdtadx,adxdtttb axabxxbax)x(fCbaxlnabaxdx.++⋅=++=+⋅==+∴=∴=≠=+−≠+=++⋅=+∫∫∫∫ 1 1 11 1 )0( }|{ 1 1 1代入上式得:将,则令的定义域为被积函数证明:CbaxμadxbaxbaxtC tμadttadxbaxdtadx,adxdttbaxμCbaxμadxbax.μμμμμμμ++⋅+=++=+⋅+==+∴=∴==+−≠++⋅+=++++∫∫∫∫111)()1( 1)( )1( 1 1)( 1 , 1)( )()1( 1)( 2代入上式得:将则令证明:( )( )( )( )( ) C bax lnbbaxadxbaxxbaxtC t lnbta C t lnabat ... 更多>>
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