CUET Mathematics 2022 17 Aug Shift 2 PYQs

$\int_0^a \frac{\sqrt{x}}{\sqrt{x} + \sqrt{a-x}} dx$ is equal to

The value of $\int \left\{ \frac{1}{\log_e x} - \frac{1}{(\log_e x)^2} \right\} dx$ is

$\int \frac{\log_e x}{(1 + \log_e x)^2} dx$ is equal to