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Integrate the functions1/(9x^2+6x+5)...

Integrate the functions`1/(9x^2+6x+5)`

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To solve the integral \(\int \frac{1}{9x^2 + 6x + 5} \, dx\), we will follow these steps: ### Step 1: Factor out the constant from the denominator We start by factoring out the constant 9 from the denominator: \[ \int \frac{1}{9x^2 + 6x + 5} \, dx = \frac{1}{9} \int \frac{1}{x^2 + \frac{6}{9}x + \frac{5}{9}} \, dx \] ...
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