CUET Mathematics 2023 15 June Shift 2 PYQs

$\int_0^{\pi/2} \frac{\sin^8 x}{\sin^8 x + \cos^8 x} dx$ is equal to

The value of $\int_0^1 x e^x dx$ is:

$\int \frac{1}{\cos^2 x (1 + \tan x)^3} \, dx =$