求不定积分∫dx/[(x^2)*根号下(4-x^2

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求不定积分∫dx/[(x^2)*根号下(4-x^2求不定积分∫dx/[(x^2)*根号下(4-x^2求不定积分∫dx/[(x^2)*根号下(4-x^2设x=2sint则dx=2costdt∫dx/[x

求不定积分∫dx/[(x^2)*根号下(4-x^2
求不定积分∫dx/[(x^2)*根号下(4-x^2

求不定积分∫dx/[(x^2)*根号下(4-x^2
设x = 2sint
则dx = 2costdt
∫dx/[x²√(4-x²)]
=∫2costdt/(4sin²t * 2cost)
=-1/4 cott + C
=-√(4-x²)/4x + C

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