$\int_2^5\left(\frac{1}{1+x^3}\right)\cos\left(6\right)dx$

$\frac{\cos\left(6\right)\ln\left|5+1\right|+\cos\left(6\right)\ln\left|\frac{\sqrt{3}}{2\sqrt{\left(5-\frac{1}{2}\right)^2+\frac{3}{4}}}\right|+\sqrt{3}\cos\left(6\right)\arctan\left(\frac{-1+5\cdot 2}{\sqrt{3}}\right)}{3}- \frac{\cos\left(6\right)\ln\left|2+1\right|+\cos\left(6\right)\ln\left|\frac{\sqrt{3}}{2\sqrt{\left(2-\frac{1}{2}\right)^2+\frac{3}{4}}}\right|+\sqrt{3}\cos\left(6\right)\arctan\left(\frac{-1+2\cdot 2}{\sqrt{3}}\right)}{3}$