Word Count : 200

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Let $I = \int \frac{x^2 \cot^{-1}(x^3)}{1 + x^6} \, dx$. Notice that $1 + x^6 = (1 + x^3)(1 - x^3 + x^6)$, but a better approach is substitution. Set $t = x^3 ___ ___ _____ _________ __________ _______ ______ _________ ___ ______ ________.
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