Indefinite Integral – Irreducible polynomial in denominator – Exercise 1965

Exercise

Evaluate the integral

2x5x26x+18dx\int \frac{2x-5}{x^2-6x+18} dx

Final Answer


2x5x26x+18dx=ln(x26x+18)+13arctan(13x1)+c\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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