# Nasty areas!

Calculus Level 5

If the area bounded by the curves $$y = x^2$$, $$y= |2-x^2|$$ and $$y=2$$, which lies to the right of the line $$x=1$$ can be expressed as $$\dfrac{a - b \sqrt{c}}{d}$$, then what is $$a+b+c+d$$?

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