$\int\dfrac{\log x}{(1 + \log x)^2}dx =$

$\int\dfrac{1}{\sqrt{2x - x^2}}dx =$

$\int(x^{21} + x^6 + x^3)(2x^{18} + 7x^3 + 14)^{\frac{1}{3}}\ dx =$

The value of the integral $\int\limits_{1/e}^{e}\dfrac{|\log x|}{x^2}dx$ is