∫x/(√2-3x^2 )dx
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∫x/(√2-3x^2)dx∫x/(√2-3x^2)dx∫x/(√2-3x^2)dx=∫d(x^2/2)/(√2-3x^2)=-1/3∫d(-3x^2/2)/(√2-3x^2)=-1/3∫d(√2-3
∫x/(√2-3x^2 )dx
∫x/(√2-3x^2 )dx
∫x/(√2-3x^2 )dx
=∫d(x^2/2)/(√2-3x^2 )
=-1/3 ∫d(-3x^2/2)/(√2-3x^2 )
=-1/3 ∫d(√2-3x^2/2)/(√2-3x^2 )
=-1/3 ln|√2-3x^2/2| (因为∫dx/x=ln|x|)