question_answer

The area of plane figure bounded by the lines \[y=\sqrt{x},\] \[x\in [0,1];\] \[y={{x}^{2}},\] \[x\in [1,2]\] and \[y=-{{x}^{2}}+2x+4,\]\[x\in [0,2]\] is ______.

Answer:

19/3