If $$I_n=\int_0^{\frac{\pi}{4}} \tan ^n x d x$$, where $$n$$ is positive integer, then $$I_{10}+I_8$$ is equal to

The value of $$\int_0^{4042} \frac{\sqrt{x} d x}{\sqrt{x}+\sqrt{4042-x}}$$ is equal to

The value of $$\int_{-1 / 2}^{1 / 2} \cos ^{-1} x d x$$ is

Find the value of $$\int_0^1 \frac{\log (1+x)}{1+x^2} d x$$ is