$$ \text { The value of } \int \frac{d x}{\sqrt{2 x-x^2}} \text { is } $$

$$ \int e^x\left[\frac{x^2+1}{(x+1)^2}\right] d x \quad \text { is equal to } $$

$$ \int \frac{f^{\prime}(x)}{f(x) \log (f(x))} d x \text { is equal to } $$