Techniques of Integration - Standard Integrals with Quadratic Denominators

Techniques of Integration - Standard Integrals with Quadratic Denominators

\(\displaystyle\displaystyle \displaystyle\int{\frac{{{x}^{4}}+4{{x}^{2}}+1}{4+{{x}^{2}}}}\mathrm{ d}x\)

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Answer:\(\frac{x^3}3+\frac12\tan^{-1}\left(\frac x2\right)+C\)

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