add slider:
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Area between arcs
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Area from x_min to y_min, of the section bounded: on left by x=x_min; on right by x=x_max; on top by an arc of the circle with center P1 and radius R1; on bottom by an arc of the circle with center P2 and radius R2.
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indefinite integral of sqrt(R^2-x^2)
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Intersection function
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