x^2/(x^6+4)求不定积分,求过程

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答案和解析

∫x?/(x^6+4) dx
= ∫d(x?/3)/(x^6+4)
= (1/3)∫d(x?)/[(x?+2?]
= (1/3)*(1/2)arctan(x?/2) + C
= (1/6)arctan(x?/2) + C

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