i've been trying to get the following u-substitution to work for this integral for a while now, but i just cant get it.(adsbygoogle = window.adsbygoogle || []).push({});

∫ ( (x^{2}-1)(x+1) )^{-2/3}dx

u = tan^{-1}x (inverse tangent)

can anyone help me out here?

it's a textbook problem; and, the sub must work since the book cites the source of the problem as a math journal and list several other subs that should work as well (a couple of which i could get - the answer is (3/2)(x-1)^{1/3}/ (x+1)^{1/3}+ C).

edit: forgot +C

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# U-sub for a specific integral

Can you offer guidance or do you also need help?

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