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duv等于vdu加udv
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duv = udv + vdu ? duv = uv = ? udv + ? vdu →? udv = uv - ? vdu cos2θ-sin2θ=cos2θ cos2θ+ sin2θ=1 cosh2θ-sinh2θ=1 cosh2θ+sinh2θ=cosh2θ Dx sinh-1( )= cosh-1( )= tanh-1( )= coth-1( )= sech-1( )= csch-1(x/a)= ? sinh-1 x dx ...
coth x sinh x dx = cosh x + C cosh x dx = sinh x + C tanh x dx = ln | cosh x |+ C coth x dx = ln | sinh x | + C sech x dx = -2tan-1 (e-x) + C csch x dx = 2 ln || + C duv = udv + vdu duv = uv = udv + vdu → udv = uv - vdu ...
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