Limits Continuity And Differentiability

If the function \(\mathrm{f}(x)\) is continuous in \(0 \leq x \leq \pi\), then the value of \(2 a+3 b\) is where

$$f(x)= \begin{cases}x+a \sqrt{2} \sin x & \text { if } 0 \leq x < \frac{\pi}{4} \\ 2 x \cot x+b & \text { if } \frac{\pi}{4} \leq x \leq \frac{\pi}{2} \\ \operatorname{acos} 2 x-b \sin x & \text { if } \frac{\pi}{2} < x \leq \pi\end{cases}$$