请高手做不定积分∫f(x)=(a^(2/3)-x^(2/3))^(1/2)/x^(1/3)

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请高手做不定积分∫f(x)=(a^(2/3)-x^(2/3))^(1/2)/x^(1/3)请高手做不定积分∫f(x)=(a^(2/3)-x^(2/3))^(1/2)/x^(1/3)请高手做不定积分∫f

请高手做不定积分∫f(x)=(a^(2/3)-x^(2/3))^(1/2)/x^(1/3)
请高手做不定积分
∫f(x)=(a^(2/3)-x^(2/3))^(1/2)/x^(1/3)

请高手做不定积分∫f(x)=(a^(2/3)-x^(2/3))^(1/2)/x^(1/3)
应该是f(x)=∫√(a^2/3-x^2/3)/(x^1/3) dx吧?
令t=a^2/3-x^2/3
dt=-2/(3x^1/3) dx
原式=-3/2*∫√t dt
=-3/2*2/3*t^3/2+C
=-(a^2/3-x^2/3)^3/2+C