∫x^2/√(2-x^2)dx详细过程

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∫x^2/√(2-x^2)dx详细过程∫x^2/√(2-x^2)dx详细过程∫x^2/√(2-x^2)dx详细过程∫[x^2/√(2-x^2)]dx=-∫xd[√(2-x^2)]=-x√(2-x^2)

∫x^2/√(2-x^2)dx详细过程
∫x^2/√(2-x^2)dx详细过程

∫x^2/√(2-x^2)dx详细过程
∫[x^2/√(2-x^2)]dx
=-∫xd[√(2-x^2)]
=-x√(2-x^2)+∫√(2-x^2)dx
=-x√(2-x^2)+[(1/2)x√(2-x^2)+arcsin(x/√2)]+C
=arcsin(x/√2)-(1/2)x√(2-x^2)+C.