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Exercise

$\int\frac{3x^2-6x-2}{x^2+9x+36}dx$

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Final answer to the exercise

$3x+\frac{11\sqrt{63}\arctan\left(\frac{9+2x}{\sqrt{63}}\right)}{9}-33\ln\left|\sqrt{\left(x+\frac{9}{2}\right)^2+\frac{63}{4}}\right|+C_2$

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$sinx\left(cos^2x-cos^4x\right)=sin^3xcos^2x$
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