44. Calculator active problem.

The shaded region in the figure above is bounded by the graph \[ y = \sqrt{2 + x - x^2} \] and the lines \( x = -3 \), \( x = 3 \), and \( y = 2 \).
What is the area of this region?

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Answer is: option3

8.4657

Solution:

8.4657

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