If the area bounded by circle x ^(2) + y...

If the area bounded by circle `x ^(2) + y^(2)=4,` the parabola `y = x ^(2) + x+1` and the curve `y = [sin ^(2) ""(x)/(4) +cos ""(x)/(4)], ` (where [] denotes the greats integer function) and x-axis is `(sqrt3 + (2pi)/(3) - (1)/(k)),` then the numerical quantitity is should be :

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If the area bounded by circle `x ^(2) + y^(2)=4,` the parabola `y = x ^(2) + x+1` and the curve `y = [sin ^(2) ""(x)/(4) +cos ""(x)/(4)], ` (where [] denotes the greats integer function) and x-axis is `(sqrt3 + (2pi)/(3) - (1)/(k)),` then the numerical quantitity is should be :

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