Improper Integral – A rational function on an infinite interval – Exercise 6612

Exercise

Evaluate the integral

\int_{2}^{\infty} \frac{1}{x^2(x^2-1)} dx

Final Answer


\int_{2}^{\infty} \frac{1}{x^2(x^2-1)} dx=-\frac{1}{2}+\frac{1}{2}\ln 3

Solution

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