令x^(1/3)=u,則x=u³,dx=3u²du
∫ 1/[1+x^(1/3)] dx
=∫ 3u²/(1+u) du
=3∫ (u²-1+1)/(1+u) du
=3∫ (u-1) du + 3∫ 1/(1+u) du
=(3/2)u² - 3u + 3ln|u+1| + C
=(3/2)x^(2/3) - 3x^(1/3) + 3ln|x^(1/3)+1| + C
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