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Find the area enclosed by circle x^(2)+y...

Find the area enclosed by circle `x^(2)+y^(2)=4`, parabola `y=x^(2)+x+1`, the curve `y=[sin^(2)x/4+cos x/4]` and X-axis (where,[.] is the greatest integer function.

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`((2pi)/(3) + sqrt3 - (1)/(6))` sq. unit
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