第六章：二重积分.pdfVIP免费

Dyxfxyyxfd),(),(DDDDyxfxyyxfdd),(dd),(DDyxfyxfd),(31121d),(Dxyyxfyxf.81),(,81d),(【解1】直接法tdyedxxtytt200limtdxedyyytt0002limtdyyetyt002lim102limttett)2(21204242044242442222d),(dd),(dd),(dyyyyxyxfyxyxfyxyxfy.),(),(),(22110211111022yyyydxyxfdyxdyxfdydxyxfdy131021xdyyxydxydxyxydy03101).12(31.1sin21coscoscos2210102211222dyxdxdxxdydxxdyxxyyy1221222222d)2π]212[yxyxyxdyxx（12222π.47d)23πyxyx（【解】原式dddyxdxdyD40cos104022cos122)21ln(2)tanln(sec2400)1(3dxdyxD3222020xxDydydxydxdyIDdxdyyxI])1[(3yyxttttxyxtdxedytdyedxt0)(0200)(20221limsin1lim.21lim212lim22)(00)(0ttttxtetdxe0sin)(dyyytftt1tyyxxdxyydydyyydxf2sinsin)1(10101sin1]sin[sin10dyyyydxdyedyedyedyenxynnynynyn)(][1lim1011121112222).11(210102edxedyyydxxydytdyxydxtytttxtt020602060)sin(1lim)sin(1limttdxxtt0250)sin(61limuxtduutdxxttt20202sin1)sin(duutdyxydxttttxtt202602060sin61lim)sin(1lim18136sin2lim540ttttxxxyDxyyx2dedde121.e21e83d)e(e121xxxD1D2D【解】如图所示，将分成与两部分.1d)1(d|1|2222DDyxyx.d)1(222Dyx1d)1(22Dyx])1(d)1([12222DDdyxyx])1(d)1(222221DDdyxyx,8d)1(dd)1(10220221Dyx10221022d)1(dd)1(yyxxyxD31d32102xx.314d|1|22Dyx因此21dddddd}1,max{DDDyxyxxyyxxyxxyxyxyxyx102212021021221dddddd.2ln4192ln212ln415420232022d]1[cossindd...