CUET Mathematics 2025 3 June Shift 2 PYQs

The value of $\int_0^{\pi/2} \log_e \left(\frac{5 + 2 \sin x}{5 + 2 \cos x}\right) dx$ is

The value of $\int_0^1 [\log x - \log(1-x)] dx$ is

$\int \frac{dx}{2\sin^2 x + 5\cos^2 x}$ is equal to