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Exercise

$\int\frac{x+4}{x^2-x+12}dx$

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Final answer to the exercise

$\ln\left|2\sqrt{\left(x-\frac{1}{2}\right)^2+\frac{47}{4}}\right|+\frac{9\sqrt{47}\arctan\left(\frac{-1+2x}{\sqrt{47}}\right)}{47}+C_1$

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$15+a>7$
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