Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its centroid at (x, y). The x coordinate of the centroid is equal to Sy(1- tan y)dy 2³ (1 - tan y) dy (1 - tan² y) dy 25 (1 - tan y)dy (Arctanx)² da 2¹ Arctanxdx SxArctanxdx 2 Arctanxdx

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