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In Exercises 5 through 18, sketch the given region R and then find its area. 5. R is the region bounded by the lines y
In Exercises 5 through 18, sketch the given region R and then find its area. 5. R is the region bounded by the lines y = x, y = -x, and x = 1. 7. R is the region bounded by the x axis and the curve y = -x + 4x - 3. 9. R is the region bounded by the curve y = x - 2x and the x axis. [Hint: Note that the region is below the x axis.] 11. R is the region bounded by the curves y = x2 - 2x and y = -x + 4. 438 CHAPTER 5 Integration 5-64 13. R is the region between the curves y = x3 - 3x2 and y = x' + 5x. 15. R is the triangle with vertices (-4, 0), (2, 0), and (2, 6). 17. R is the trapezoid bounded by the lines y = x + 6 and x = 2 and the coordinate axes
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