Half the Area

IB Mathematics HL & SL: Half the Area

This problem had its beginnings in the interesting result that the area bounded by the x-axis and the graph of y=sinx for the interval 0≤x≤π is exactly 2 square units. Certainly an "interesting" result given that sine is a transcendental function and the horizontal limits of the region go from zero to π - an irrational number ... but the area of the region has an integer value. Although this problem starts with...


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