$$ \int\limits_0^1 x\left|x-\frac{1}{2}\right| \mathrm{d} x= $$

$$ \int_0^{\frac{\pi}{2}} \frac{300 \sin x+100 \cos x}{\sin x+\cos x} d x=\ldots $$

$$ \int_0^1 \tan ^{-1} x d x= $$

$\int_{\frac{1}{2}}^2 \frac{1}{x} \operatorname{cosec}^{101}\left(x-\frac{1}{x}\right) \mathrm{d} x=$