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新微积分原理的思考
2018-12-12 | 阅:  转:  |  分享 
  
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
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12

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12
k+k=2n
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=-1
n
nn+1
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kkk-k=2k+k=2n
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[3].[M].:,2011.
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