CUET Mathematics 2026 30th May Shift 2 PYQs

$\int_{1}^{2} \frac{\sqrt{x}}{\sqrt{3 - x} + \sqrt{x}} dx$ is equal to

Value of $\int_{1}^{4} \frac{\log_e x}{x^2}\, dx$ is

If $\int (1 + e^{-x} + e^{-2x} + ...)dx = \log\phi(x) + C$, then $\phi(x)$ is equal to :