\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For a function \(f\), \(\displaystyle\int_{0}^{1} f(x)\,\mathrm d x =2\) and \(\displaystyle\int_{1}^{2} f(x)\,\mathrm d x =1\), find:
\(\displaystyle\int_{0}^{2} f(x)\,\mathrm d x=\)

\(\displaystyle\int_{0}^{0} f(x)\,\mathrm d x=\)

\(\displaystyle\int_{0}^{2} 4f(x)\,\mathrm d x=\)