$$\int \frac{1}{x^{\frac{1}{2}}+x^{\frac{1}{3}}} d x=$$

If $$A=\left[\begin{array}{ccc}\cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]$$, then $$\operatorname{adj} A=$$

$$\int[\sin |\log x|+\cos |\log x|] d x=$$

$$\int\limits_5^{10} \frac{d x}{(x-1)(x-2)}=$$