$\int \frac{4 x - 7}{2 x^{2} - 7 x + 6} d x$

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Solution

$\int \frac{4 x - 7}{2 x^{2} - 7 x + 6} d x$

Let $t = 2 x^{2} - 7 x + 6 ⟹ d t = 4 x - 7 d x$
$\int \frac{1}{t} d t log t ⟹ log (2 x^{2} - 7 x + 6) + c$

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