不定积分 x/(4-x^4)^1/2 怎么求
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∫xdx/√(4-x^4)
=1/2∫dx^2/√(4-x^4)
=1/2∫dx^2/2√[1-(x^2/2)^2]
=1/2∫d(x^2/2)/√[1-(x^2/2)^2]
=1/2arcsin(x^2/2)+C
=1/2∫dx^2/√(4-x^4)
=1/2∫dx^2/2√[1-(x^2/2)^2]
=1/2∫d(x^2/2)/√[1-(x^2/2)^2]
=1/2arcsin(x^2/2)+C
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