(See Steps) Compute the following indefinite integral using the suggested substitution: ∫(4x^3)/((x^4+1))^2dx,
Question: Compute the following indefinite integral using the suggested substitution:
\[\int{\frac{4{{x}^{3}}}{{{\left( {{x}^{4}}+1 \right)}^{2}}}dx}\] , \[u={{x}^{4}}+1\]
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