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Advanced Engineering Mathematics, 10th ed, Kreyszig_cropped.pdf

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Advanced Engineering Mathematics, 10th ed, Kreyszig_cropped.pdf

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文档介绍:(abbreviatedSI),andtheabbreviationssec(insteadofs),gm(insteadofg),andnt(insteadofN)(cm)gram(g)second(s)dynemkssystemmeter(m)kilogram(kg)second(s)newton(nt)Engineeringsystemfoot(ft)slugsecond(s)pound(lb)1inch(in.)(ft)(yd)(mi).gallonϭ231/(liq)ϭ8pints(liq)(lb)(nt)ϭ105dynes1Britishthermalunit(Btu)(cal)-hour(kWh)•106joules1horsepower(hp)/(kW)/s°Fϭ°C•°,forexample,,,,.,Hoboken,:Wiley,,ASTM/IEEEStandardMetricPractice,InstituteofElectricalandElectronicsEngineers,Inc.(IEEE),445HoesLane,Piscataway,,websiteatferentiationIntegration͵ЈϭϪ͵Ј(cu)onstant)uvdxuvuvdx(byparts)xnϩ1ϩЈϭЈϩЈ͵xndxϭϩc(nϪ1)(uv)uvnϩ1(uv)ЈϭuЈvϩuvЈ͵1ϭ͉͉ϩxdxlnxcЈuuЈvϪuvЈ͵axϭ1axϩ()ᎏϭᎏᎏedxaecvv2͵sinxdxϭϪcosxϩcdududyᎏϭᎏ•ᎏ(Chainrule)dxdydx͵cosxdxϭsinxϩc͵tanxdxϭϪln͉cosx͉ϩcxn)Јϭnxn؊1)͵cotxdxϭln͉sinx͉ϩc(ex)Јϭex͵secxdxϭln͉secxϩtanx͉ϩc(eax)Јϭaeax͵cscxdxϭln͉cscxϪcotx͉ϩc(ax)Јϭaxlnadx1x͵ᎏϭᎏarctanᎏϩc(sinx)Јϭcosxx2ϩa2aa(cosx)ЈϭϪsinxdxx͵ᎏᎏϭarcsinᎏϩc͙aෆෆ2Ϫෆෆxෆ2a(tanx)Јϭsec2xdxxЈϭϪ2͵ᎏᎏϭarcsinhᎏϩc(cotx)cscx͙xෆ2ෆϩෆa2ෆa(sinhx)Јϭcoshxdxx͵oshᎏϩc͙xෆ2ෆϪෆa2ෆa(coshx)Јϭsinhx͵sin2xdxϭ_1xϪ_1sin2xϩc124(lnx)Јϭᎏx͵2ϭ_1ϩ_1ϩcosxdx2x4sin2xclogae͵2ϭϪϩ(logx)Јϭᎏtanxdxtanxxcax͵cot2xdxϭϪco