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In problems 11 - 15 , represent the area of each bounded region as a definite integral, and use geometry to determine the value of

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In problems 11 - 15 , represent the area of each bounded region as a definite integral, and use geometry to determine the value of the definite integral. 3+ y= 1+ | x-1| 1 1. The region bounded by y = 2x , the x-axis, the line x = 1, and x = 3. 12. The region bounded by y =4-2x , the x-axis, and the y-axis. 3- y - 3 - 13. The region bounded by y = l.x I, the x-axis, and the line . =-1. 2+ 14. The shaded region in Fig. 11. Lad Fig. 11 15. The shaded region in Fig. 12. Fig. 12

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