Indefinite Integral – A rational function – Exercise 6398

Exercise

Evaluate the integral

x+19x29x+2dx\int \frac{x+1}{9x^2-9x+2} dx

Final Answer


x+19x29x+2dx=5lnx234lnx13+c\int \frac{x+1}{9x^2-9x+2} dx=5\ln|x-\frac{2}{3}| -4\ln|x-\frac{1}{3}|+c

Solution

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