Indefinite Integral – A rational function – Exercise 1487

Exercise

Evaluate the integral

\int \frac{-2x^4+4x^2-1}{1-x^2} dx

Final Answer


\int \frac{-2x^4+4x^2-1}{1-x^2} dx=2\frac{x^3}{3} -2x+\frac{1}{2}\ln|1-x| -\frac{1}{2}\ln|1+x|+c

Solution

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