xxdx0dx11.∽12dxFαk乙x“Cxfdxixdxx。α△ydx△xxxUxx∽η∽x△yyf=≡fdxix乙△x乙o△fxx。Σ△xxΣfdx乙idy≡dxfdxdxxxrdx=2no=dx”=fΣxΣidxdx。nF、乙、。Ci。Σ、dx、xx=。2nz1dxy=xFxxdxdxFDx+。fxnF…xxnFC∽xUdxfxdx≡ηdxfdy≡lf乙x圯α”dxxΣdxx≡xfxxxfxdxodx乙x=f=△xiαdxxfdy乙≡=fxx≡∽αΣ∽dxΣxdxdx≡dxfxidxdxoxdx乙dxFkx乙Ffα。dy=fxαdxFxxxfkααx。FkxfdxFd°乙xxd≡=ddyxdxxk≡fxxΣxαdxxFxxfα∞ΣxFdx''xjα=dyxdΣxkdxfkkxαfx。flfdx≡。jy==x—、、x。xdy≡x∴x。dxdx=F乙xdx≡dxαxdx“xxfdx△=dxdxdxdx△≡xdx≡x△xdxdxdx∽Σyidx=dy。yFxxdxFF°xx△≡≡fdyddyx≡≡yxixdxidxi∽FΣ''fxxdx。idyoddyxαyx2nfnxdyf≡fi∽xkΣdxCdxo∽dxαΣ。Fk°x≡fΣx≡乙αfxdxdxofdxxdx≡xdx。dx。乙αdxdxfx≡dxdxfxdx。xFα°dxxΣx≡。fxdxαz、dxDx乙Ff''xx=dfΣ≡xFxF≡xfx=Σrxfdxxxkdx·CαdxfkΣxxdxαfxdx、。x。∈arbxfxFxFx。xr“x”x∽。rdxxdxfxαdx≡xfl乙fi≡xiαdxdxfix∞fiΣxfxα。jiyj=sinΣ2fxx∽。αdxrxdxsin≡2x乙rxαdx≡l乙。rx∽j”Σrfxxj“α2 k-k=2 12
k=n+1k=n-1 12 k+k=2n 12 =-1 =-1 n nn+1 C 2n C-C= 2n2n =-10,02n,-22nn+1 kkk-k=2k+k=2n 121212 91 [+]= -1-1
,i=1i=1 xx + xx i=10i=10 + x 3 -F[+] 0 x 0
xx Newton-Leibni xx 00 3.1 [] + 0
12 0 ,[+]+ Newton-Leibni [+]+ [+][-][+] 0 0 [+][-F]= 0 0 + [][] , 00 = ’=- 0 x 3 [+][]+[ -1-1 1 x j=1j=1 0 33223 -3+3+ + xx 22 [33] ++ ][+][+] 1 - 2 xx j=1 =300 22 3+3 + x [+][] + -1 2x j=10 ==3 x [+][+] 1 +- x j=10 2 +3+ 32 3xdx+ [] + -1 k=1 3.2 ++ [+]0 -1 k=1 restore
k=1 x [+][+ -1 x k=10 2 ] 1-cos2x1111 ==-cos2-cosf(x)x,xF(x)[x,x] 200 22224 xxxx 1111 2-sin2-sin2+ [+][+] 2424 xxxx 0000 3.3 -F 0 4 Werden i=1 1 2Werden
i=1 [1].(3)[M].:,2011. [2],.[M].:,2005. [3].[M].:,2011. -[+] 0-1 i=1i=1 1=i 圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯圯 |
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