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Indefinite Integral – Irreducible polynomial in denominator – Exercise 1965

Exercise

Evaluate the integral

\int \frac{2x-5}{x^2-6x+18} dx

Final Answer


\int \frac{2x-5}{x^2-6x+18} dx =\ln (x^2-6x+18)+\frac{1}{3}\arctan (\frac{1}{3}x-1)+c

Solution

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