CUET Mathematics 2022 7 Aug Shift 2 PYQs

$\int_{-\pi}^{\pi} \frac{e^{\sin x}}{e^{\sin x} + e^{-\sin x}}dx$ is equal to

If $f(a-x) = f(x)$, then $\int_0^a xf(x)dx$ is equal to

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