Sliding Sine Window

Calculus Level 5

A square of side length one rests in the first quadrant with two of its sides sitting on the coordinate axes, overlapping the region between y=sinxy = \sin x and the xx-axis. It then slides along the positive xx-axis at a rate of 1 unit per second as shown above.

At what rate is the area inside both the blue region and the square changing after 1 second?

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