$$\int_\limits0^2|2 x-3| d x=$$

If $$\int_\limits0^a \sqrt{\frac{a-x}{x}} d x=\frac{k}{2}$$, then $$k=$$

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

$$\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{{\cos x} \over {1 + {e^x}}}dx = } $$