$\int_{-2}^{2} |x| \, dx = $

Evaluate the definite integral: $\int_0^{2a} f(x) dx$

If the value of $\int_{0}^{\pi/2} \sin^{4}(x) \cdot \cos^{2}(x) dx = \frac{\pi}{32}$,then the value of $\int_{0}^{\pi/2} \cos^{4}(x) \cdot \sin^{2}(x) dx$ is:

$\int_0^{\frac{\pi}{2}} \frac{dx}{1+(\cot x)^{101}} = $

The value of the integral $\int_{0}^{\pi / 2} \frac{1}{1+(\tan x)^{-101}} d x$ is equal to

The value of $ \int_{2}^{8} \frac{\sqrt{10-x}}{\sqrt{x}+\sqrt{10-x}} d x $ is