The function is continues in \( [0, \pi] \) then find value of \( a \) and \( b \) \[ f(x)=\left...

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The function is continues in \( [0, \pi] \) then find value of \( a \) and \( b \)
\[
f(x)=\left\{\begin{array}{ll}
x+a \sqrt{2} \sin x, & 0 \leq x\frac{\pi}{4} \\
2 x \cot x+b, & \frac{\pi}{4} \leq x \leq \frac{\pi}{2} \\
a \cos 2 x-b \sin x, & \frac{\pi}{2}x \leq \pi
\end{array}\right.
\]
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