CUET Mathematics 2023 22 May Shift 3 PYQs

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

If $\int \frac{2x - 5}{(2x - 3)^3} e^{2x} dx = \frac{\lambda e^{2x}}{(2x - 3)^2} + C$, where $C$ is an arbitrary constant then the value of $\lambda$ is

$\int \frac{f'(x)}{f(x) \log_e[f(x)]} dx$ is equal to