Techniques of Integration - Integrals Involving Long Division

Techniques of Integration - Integrals Involving Long Division

\(\displaystyle \displaystyle\int{\frac{5{{x}^{4}}-5{{x}^{2}}+3x}{1-{{x}^{2}}}}\,\mathrm{d}x\)

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Answer:\(-\frac53x^3-\frac32\ln|1-x^2|+C\)

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