求∫√x dx/1+x^1/3

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求∫√xdx/1+x^1/3求∫√xdx/1+x^1/3求∫√xdx/1+x^1/3x^0.5=(1+x^(1/3))*(x^(1/6)-x^(-1/6)+x^(-1/2)-x^(-5/6))+x^(

求∫√x dx/1+x^1/3
求∫√x dx/1+x^1/3

求∫√x dx/1+x^1/3
x^0.5=(1+x^(1/3))*(x^(1/6)-x^(-1/6)+x^(-1/2)-x^(-5/6))+x^(-5/6)
x^0.5/(1+x^(1/3))=x^(1/6)-x^(-1/6)+x^(-1/2)-x^(-5/6)     +x^(-5/6)/(1+x^(1/3))
结果: